137288520 has 80 divisors (see below), whose sum is σ = 461452860. Its totient is φ = 36609408.

The previous prime is 137288519. The next prime is 137288527. The reversal of 137288520 is 25882731.

It can be written as a sum of positive squares in 2 ways, for example, as 121749156 + 15539364 = 11034^2 + 3942^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137288527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17947 + ... + 24426.

Almost surely, 2^137288520 is an apocalyptic number.

137288520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137288520 is an abundant number, since it is smaller than the sum of its proper divisors (324164340).

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

137288520 is a wasteful number, since it uses less digits than its factorization.

137288520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42396 (or 42383 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137288520 is about 11717.0183920654. The cubic root of 137288520 is about 515.8753078910.

The spelling of 137288520 in words is "one hundred thirty-seven million, two hundred eighty-eight thousand, five hundred twenty".