137707731 has 24 divisors (see below), whose sum is σ = 227767904. Its totient is φ = 78537600.

The previous prime is 137707729. The next prime is 137707777.

137707731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137707731 - 2¹ = 137707729 is a prime.

It is a super-2 number, since 2×137707731² = 37926838354336722, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (137707721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36045 + ... + 39681.

Almost surely, 2^137707731 is an apocalyptic number.

137707731 is a deficient number, since it is larger than the sum of its proper divisors (90060173).

137707731 is a wasteful number, since it uses less digits than its factorization.

137707731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 21609, while the sum is 36.

The square root of 137707731 is about 11734.8937362040. The cubic root of 137707731 is about 516.3998500712.

The spelling of 137707731 in words is "one hundred thirty-seven million, seven hundred seven thousand, seven hundred thirty-one".