137568516 has 48 divisors (see below), whose sum is σ = 333729984. Its totient is φ = 44067456.

The previous prime is 137568503. The next prime is 137568517. The reversal of 137568516 is 615865731.

137568516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137568517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34986 + ... + 38718.

It is an arithmetic number, because the mean of its divisors is an integer number (6952708).

Almost surely, 2^137568516 is an apocalyptic number.

It is an amenable number.

137568516 is an abundant number, since it is smaller than the sum of its proper divisors (196161468).

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

137568516 is a wasteful number, since it uses less digits than its factorization.

137568516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3858 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 137568516 is about 11728.9605677571. The cubic root of 137568516 is about 516.2257740431.

The spelling of 137568516 in words is "one hundred thirty-seven million, five hundred sixty-eight thousand, five hundred sixteen".