137612313 has 6 divisors (see below), whose sum is σ = 198773354. Its totient is φ = 91741536.

The previous prime is 137612311. The next prime is 137612329. The reversal of 137612313 is 313216731.

137612313 is a `hidden beast` number, since 1 + 37 + 612 + 3 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108743184 + 28869129 = 10428^2 + 5373^2 .

It is not a de Polignac number, because 137612313 - 2¹ = 137612311 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137612311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7645120 + ... + 7645137.

Almost surely, 2^137612313 is an apocalyptic number.

It is an amenable number.

137612313 is a deficient number, since it is larger than the sum of its proper divisors (61161041).

137612313 is a wasteful number, since it uses less digits than its factorization.

137612313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290263 (or 15290260 counting only the distinct ones).

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

The square root of 137612313 is about 11730.8274644204. The cubic root of 137612313 is about 516.2805509693.

It can be divided in two parts, 1376 and 12313, that added together give a square (13689 = 117²).

The spelling of 137612313 in words is "one hundred thirty-seven million, six hundred twelve thousand, three hundred thirteen".