137134313 has 4 divisors (see below), whose sum is σ = 137166480. Its totient is φ = 137102148.

The previous prime is 137134307. The next prime is 137134339. The reversal of 137134313 is 313431731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313431731 = 31 ⋅10110701.

It is a cyclic number.

It is not a de Polignac number, because 137134313 - 2¹⁶ = 137068777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137134363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8495 + ... + 18612.

It is an arithmetic number, because the mean of its divisors is an integer number (34291620).

Almost surely, 2^137134313 is an apocalyptic number.

It is an amenable number.

137134313 is a deficient number, since it is larger than the sum of its proper divisors (32167).

137134313 is an equidigital number, since it uses as much as digits as its factorization.

137134313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32166.

The product of its digits is 2268, while the sum is 26.

The square root of 137134313 is about 11710.4360721538. The cubic root of 137134313 is about 515.6820861339.

The spelling of 137134313 in words is "one hundred thirty-seven million, one hundred thirty-four thousand, three hundred thirteen".