137135713 has 12 divisors (see below), whose sum is σ = 162332884. Its totient is φ = 115077600.

The previous prime is 137135699. The next prime is 137135717. The reversal of 137135713 is 317531731.

It can be written as a sum of positive squares in 2 ways, for example, as 72301009 + 64834704 = 8503^2 + 8052^2 .

It is not a de Polignac number, because 137135713 - 2⁵ = 137135681 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137135717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42018 + ... + 45163.

Almost surely, 2^137135713 is an apocalyptic number.

137135713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137135713 is a deficient number, since it is larger than the sum of its proper divisors (25197171).

137135713 is a wasteful number, since it uses less digits than its factorization.

137135713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87216 (or 87205 counting only the distinct ones).

The product of its digits is 6615, while the sum is 31.

The square root of 137135713 is about 11710.4958477427. The cubic root of 137135713 is about 515.6838409888.

The spelling of 137135713 in words is "one hundred thirty-seven million, one hundred thirty-five thousand, seven hundred thirteen".