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138562160000 = 275411157457
BaseRepresentation
bin1000000100001011110…
…0101100010110000000
3111020122122011001001212
42001002330230112000
54232233403110000
6143353215545252
713003461632645
oct2010274542600
9436578131055
10138562160000
11538447aa720
1222a3022b228
13100b2a24bb4
1469c66a9dcc
15390e8a4c35
hex2042f2c580

138562160000 has 160 divisors (see below), whose sum is σ = 376302575880. Its totient is φ = 50385920000.

The previous prime is 138562159937. The next prime is 138562160017. The reversal of 138562160000 is 61265831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 801272 + ... + 958728.

Almost surely, 2138562160000 is an apocalyptic number.

138562160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138562160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188151287940).

138562160000 is an abundant number, since it is smaller than the sum of its proper divisors (237740415880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138562160000 is an equidigital number, since it uses as much as digits as its factorization.

138562160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157502 (or 157475 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 138562160000 in words is "one hundred thirty-eight billion, five hundred sixty-two million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 157457 176000 220000 314914 440000 629828 787285 880000 1259656 1574570 1732027 2519312 3149140 3464054 3936425 5038624 6298280 6928108 7872850 8660135 10077248 12596560 13856216 15745700 17320270 19682125 20154496 25193120 27712432 31491400 34640540 39364250 43300675 50386240 55424864 62982800 69281080 78728500 86601350 98410625 100772480 110849728 125965600 138562160 157457000 173202700 196821250 216503375 221699456 251931200 277124320 314914000 346405400 393642500 433006750 503862400 554248640 629828000 692810800 787285000 866013500 1082516875 1108497280 1259656000 1385621600 1574570000 1732027000 2165033750 2519312000 2771243200 3149140000 3464054000 4330067500 5542486400 6298280000 6928108000 8660135000 12596560000 13856216000 17320270000 27712432000 34640540000 69281080000 138562160000