137012116527 has 72 divisors (see below), whose sum is σ = 234230516208. Its totient is φ = 76503398400.

The previous prime is 137012116523. The next prime is 137012116603. The reversal of 137012116527 is 725611210731.

137012116527 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 12 + 116 + 527 = 666.

It is not a de Polignac number, because 137012116527 - 2² = 137012116523 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137012116491 and 137012116500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137012116523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9043903 + ... + 9059039.

It is an arithmetic number, because the mean of its divisors is an integer number (3253201614).

Almost surely, 2^137012116527 is an apocalyptic number.

137012116527 is a deficient number, since it is larger than the sum of its proper divisors (97218399681).

137012116527 is a wasteful number, since it uses less digits than its factorization.

137012116527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15721 (or 15705 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 137012116527 in words is "one hundred thirty-seven billion, twelve million, one hundred sixteen thousand, five hundred twenty-seven".