137312631 has 32 divisors (see below), whose sum is σ = 210397440. Its totient is φ = 88452000.

The previous prime is 137312611. The next prime is 137312633. The reversal of 137312631 is 136213731.

137312631 is a `hidden beast` number, since 13 + 7 + 3 + 12 + 631 = 666.

It is not a de Polignac number, because 137312631 - 2⁷ = 137312503 is a prime.

It is a super-2 number, since 2×137312631² = 37709517264284322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137312595 and 137312604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137312633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116676 + ... + 117846.

It is an arithmetic number, because the mean of its divisors is an integer number (6574920).

Almost surely, 2^137312631 is an apocalyptic number.

137312631 is a deficient number, since it is larger than the sum of its proper divisors (73084809).

137312631 is a wasteful number, since it uses less digits than its factorization.

137312631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 137312631 is about 11718.0472349278. The cubic root of 137312631 is about 515.9055059524.

The spelling of 137312631 in words is "one hundred thirty-seven million, three hundred twelve thousand, six hundred thirty-one".