137747313 has 24 divisors (see below), whose sum is σ = 220124736. Its totient is φ = 82303200.

The previous prime is 137747297. The next prime is 137747317. The reversal of 137747313 is 313747731.

It is a happy number.

It is not a de Polignac number, because 137747313 - 2⁴ = 137747297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137747317) 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, 2770 + ... + 16827.

It is an arithmetic number, because the mean of its divisors is an integer number (9171864).

Almost surely, 2^137747313 is an apocalyptic number.

It is an amenable number.

137747313 is a deficient number, since it is larger than the sum of its proper divisors (82377423).

137747313 is a wasteful number, since it uses less digits than its factorization.

137747313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19685 (or 19682 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 137747313 is about 11736.5801236987. The cubic root of 137747313 is about 516.4493224347.

The spelling of 137747313 in words is "one hundred thirty-seven million, seven hundred forty-seven thousand, three hundred thirteen".