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137887899975 = 32527221315869
BaseRepresentation
bin1000000001101011000…
…0100110000101000111
3111011220122102002012100
42000122300212011013
54224343300244400
6143202252123143
712650663545200
oct2003260460507
9434818362170
10137887899975
1153529141131
12228824664b3
1310006128777
146960d125a7
1538c05b9100
hex201ac26147

137887899975 has 108 divisors (see below), whose sum is σ = 287478389640. Its totient is φ = 62994153600.

The previous prime is 137887899937. The next prime is 137887899991. The reversal of 137887899975 is 579998788731.

It is a happy number.

137887899975 is a `hidden beast` number, since 1 + 378 + 8 + 78 + 99 + 97 + 5 = 666.

It is not a de Polignac number, because 137887899975 - 29 = 137887899463 is a prime.

It is a super-3 number, since 3×1378878999753 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137887899894 and 137887899903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23491341 + ... + 23497209.

Almost surely, 2137887899975 is an apocalyptic number.

137887899975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137887899975 is an abundant number, since it is smaller than the sum of its proper divisors (149590489665).

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

137887899975 is a wasteful number, since it uses less digits than its factorization.

137887899975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8030 (or 8015 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 81.

The spelling of 137887899975 in words is "one hundred thirty-seven billion, eight hundred eighty-seven million, eight hundred ninety-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2131 2205 3675 5869 6393 10655 11025 14917 17607 19179 29345 31965 41083 44751 52821 53275 74585 88035 95895 104419 123249 134253 146725 159825 205415 223755 264105 287581 313257 369747 372925 440175 479475 522095 616245 671265 862743 939771 1027075 1118775 1320525 1437905 1566285 1848735 2588229 2610475 3081225 3356325 4313715 4698855 7189525 7831425 9243675 12506839 12941145 21568575 23494275 37520517 62534195 64705725 87547873 112561551 187602585 262643619 312670975 437739365 562807755 612835111 787930857 938012925 1313218095 1838505333 2188696825 2814038775 3064175555 3939654285 5515515999 6566090475 9192526665 15320877775 19698271425 27577579995 45962633325 137887899975