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134253202125 = 35371011393643
BaseRepresentation
bin111110100001000011…
…1010100101011001101
3110211112100002022002110
41331002013110223031
54144422304432000
6141401452014233
712461630250360
oct1750207245315
9424470068073
10134253202125
1151a33483909
1222029161379
13c8770ba293
1466d82d00d7
15375b451850
hex1f421d4acd

134253202125 has 128 divisors (see below), whose sum is σ = 259765309440. Its totient is φ = 60311520000.

The previous prime is 134253202099. The next prime is 134253202129. The reversal of 134253202125 is 521202352431.

It is not a de Polignac number, because 134253202125 - 29 = 134253201613 is a prime.

It is a super-2 number, since 2×1342532021252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 134253202092 and 134253202101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134253202129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36850554 + ... + 36854196.

It is an arithmetic number, because the mean of its divisors is an integer number (2029416480).

Almost surely, 2134253202125 is an apocalyptic number.

134253202125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134253202125 is a deficient number, since it is larger than the sum of its proper divisors (125512107315).

134253202125 is a wasteful number, since it uses less digits than its factorization.

134253202125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 134253202125 its reverse (521202352431), we get a palindrome (655455554556).

The spelling of 134253202125 in words is "one hundred thirty-four billion, two hundred fifty-three million, two hundred two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 101 105 125 139 175 303 375 417 505 525 695 707 875 973 1515 2085 2121 2525 2625 2919 3475 3535 3643 4865 7575 10425 10605 10929 12625 14039 14595 17375 17675 18215 24325 25501 37875 42117 52125 53025 54645 70195 72975 76503 88375 91075 98273 121625 127505 210585 265125 273225 294819 350975 364875 367943 382515 455375 491365 506377 637525 1052925 1103829 1366125 1474095 1519131 1754875 1839715 1912575 2456825 2531885 2575601 3187625 3544639 5264625 5519145 7370475 7595655 7726803 9198575 9562875 10633917 12284125 12659425 12878005 17723195 27595725 36852375 37978275 38634015 45992875 51144077 53169585 63297125 64390025 88615975 137978625 153432231 189891375 193170075 255720385 265847925 321950125 358008539 443079875 767161155 965850375 1074025617 1278601925 1329239625 1790042695 3835805775 5370128085 6393009625 8950213475 19179028875 26850640425 44751067375 134253202125