137364513 has 32 divisors (see below), whose sum is σ = 217456512. Its totient is φ = 76032000.

The previous prime is 137364511. The next prime is 137364517. The reversal of 137364513 is 315463731.

It is not a de Polignac number, because 137364513 - 2¹ = 137364511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (137364511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39963 + ... + 43263.

It is an arithmetic number, because the mean of its divisors is an integer number (6795516).

Almost surely, 2^137364513 is an apocalyptic number.

137364513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137364513 is a deficient number, since it is larger than the sum of its proper divisors (80091999).

137364513 is a wasteful number, since it uses less digits than its factorization.

137364513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425.

The product of its digits is 22680, while the sum is 33.

The square root of 137364513 is about 11720.2607906138. The cubic root of 137364513 is about 515.9704740932.

The spelling of 137364513 in words is "one hundred thirty-seven million, three hundred sixty-four thousand, five hundred thirteen".