137312320 has 28 divisors (see below), whose sum is σ = 326975724. Its totient is φ = 54924800.

The previous prime is 137312317. The next prime is 137312353. The reversal of 137312320 is 23213731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53699584 + 83612736 = 7328^2 + 9144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137312291 and 137312300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214231 + ... + 214870.

Almost surely, 2^137312320 is an apocalyptic number.

137312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137312320 is an abundant number, since it is smaller than the sum of its proper divisors (189663404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137312320 is an equidigital number, since it uses as much as digits as its factorization.

137312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429118 (or 429108 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 137312320 is about 11718.0339647912. The cubic root of 137312320 is about 515.9051164598.

The spelling of 137312320 in words is "one hundred thirty-seven million, three hundred twelve thousand, three hundred twenty".