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137312700525 = 34527111367741
BaseRepresentation
bin111111111100001111…
…0011000100001101101
3111010102120001220220000
41333320132120201231
54222204022404100
6143025223414513
712630510460650
oct1777036304155
9433376056800
10137312700525
1153263492290
12227418b4439
13cc43c04370
146908783897
153889d49900
hex1ff879886d

137312700525 has 240 divisors, whose sum is σ = 341510725248. Its totient is φ = 52674624000.

The previous prime is 137312700521. The next prime is 137312700559. The reversal of 137312700525 is 525007213731.

It is a happy number.

137312700525 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 127 + 0 + 0 + 525 = 666.

It is not a de Polignac number, because 137312700525 - 22 = 137312700521 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137312700525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137312700521) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1993155 + ... + 2060895.

Almost surely, 2137312700525 is an apocalyptic number.

137312700525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137312700525 is an abundant number, since it is smaller than the sum of its proper divisors (204198024723).

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

137312700525 is a wasteful number, since it uses less digits than its factorization.

137312700525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67794 (or 67780 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 137312700525 in words is "one hundred thirty-seven billion, three hundred twelve million, seven hundred thousand, five hundred twenty-five".