137472313 has 8 divisors (see below), whose sum is σ = 150733440. Its totient is φ = 124338480.

The previous prime is 137472299. The next prime is 137472323. The reversal of 137472313 is 313274731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137472313 - 2⁵ = 137472281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137472323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29553 + ... + 33886.

It is an arithmetic number, because the mean of its divisors is an integer number (18841680).

Almost surely, 2^137472313 is an apocalyptic number.

It is an amenable number.

137472313 is a deficient number, since it is larger than the sum of its proper divisors (13261127).

137472313 is a wasteful number, since it uses less digits than its factorization.

137472313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63647.

The product of its digits is 10584, while the sum is 31.

The square root of 137472313 is about 11724.8587624756. The cubic root of 137472313 is about 516.1054120820.

The spelling of 137472313 in words is "one hundred thirty-seven million, four hundred seventy-two thousand, three hundred thirteen".