137311520 has 96 divisors (see below), whose sum is σ = 340063920. Its totient is φ = 52326400.

The previous prime is 137311519. The next prime is 137311553. The reversal of 137311520 is 25113731.

137311520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 127148176 + 10163344 = 11276^2 + 3188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468494 + ... + 468786.

Almost surely, 2^137311520 is an apocalyptic number.

137311520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170031960).

137311520 is an abundant number, since it is smaller than the sum of its proper divisors (202752400).

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

137311520 is a wasteful number, since it uses less digits than its factorization.

137311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 137311520 is about 11717.9998293224. Note that the first 3 decimals coincide. The cubic root of 137311520 is about 515.9041145471.

It can be divided in two parts, 13731 and 1520, that added together give a palindrome (15251).

The spelling of 137311520 in words is "one hundred thirty-seven million, three hundred eleven thousand, five hundred twenty".