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137640608172 = 223229131839663
BaseRepresentation
bin1000000000110000000…
…1010000000110101100
3111011021102002100121200
42000030001100012230
54223341443430142
6143121535525500
712641601602634
oct2001401200654
9434242070550
10137640608172
1153411598141
1222813689890
13cc96b23962
14693a13d6c4
1538a8a1c64c
hex200c0501ac

137640608172 has 36 divisors (see below), whose sum is σ = 359922282720. Its totient is φ = 44298126432.

The previous prime is 137640608113. The next prime is 137640608173. The reversal of 137640608172 is 271806046731.

137640608172 is a `hidden beast` number, since 1 + 3 + 76 + 406 + 0 + 8 + 172 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (137640608173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65918788 + ... + 65920875.

Almost surely, 2137640608172 is an apocalyptic number.

137640608172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137640608172 is an abundant number, since it is smaller than the sum of its proper divisors (222281674548).

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

137640608172 is a wasteful number, since it uses less digits than its factorization.

137640608172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131839702 (or 131839697 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 137640608172 in words is "one hundred thirty-seven billion, six hundred forty million, six hundred eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 131839663 263679326 395518989 527358652 791037978 1186556967 1582075956 2373113934 3823350227 4746227868 7646700454 11470050681 15293400908 22940101362 34410152043 45880202724 68820304086 137640608172