137813520 has 80 divisors (see below), whose sum is σ = 460095552. Its totient is φ = 33922560.

The previous prime is 137813519. The next prime is 137813537. The reversal of 137813520 is 25318731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18966 + ... + 25205.

Almost surely, 2^137813520 is an apocalyptic number.

137813520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137813520 is an abundant number, since it is smaller than the sum of its proper divisors (322282032).

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

137813520 is a wasteful number, since it uses less digits than its factorization.

137813520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44200 (or 44194 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 137813520 is about 11739.4003253999. The cubic root of 137813520 is about 516.5320514136.

The spelling of 137813520 in words is "one hundred thirty-seven million, eight hundred thirteen thousand, five hundred twenty".