137351313 has 24 divisors (see below), whose sum is σ = 229166496. Its totient is φ = 78345600.

The previous prime is 137351311. The next prime is 137351317. The reversal of 137351313 is 313153731.

137351313 is a `hidden beast` number, since 137 + 3 + 513 + 13 = 666.

It is not a de Polignac number, because 137351313 - 2¹ = 137351311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137351311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39123 + ... + 42488.

It is an arithmetic number, because the mean of its divisors is an integer number (9548604).

Almost surely, 2^137351313 is an apocalyptic number.

It is an amenable number.

137351313 is a deficient number, since it is larger than the sum of its proper divisors (91815183).

137351313 is a wasteful number, since it uses less digits than its factorization.

137351313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81645 (or 81642 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 137351313 is about 11719.6976496836. The cubic root of 137351313 is about 515.9539462233.

The spelling of 137351313 in words is "one hundred thirty-seven million, three hundred fifty-one thousand, three hundred thirteen".