137385700 has 36 divisors (see below), whose sum is σ = 304480512. Its totient is φ = 53783200.

The previous prime is 137385631. The next prime is 137385719. The reversal of 137385700 is 7583731.

137385700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 9916 + ... + 19315.

It is an arithmetic number, because the mean of its divisors is an integer number (8457792).

Almost surely, 2^137385700 is an apocalyptic number.

137385700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137385700 is an abundant number, since it is smaller than the sum of its proper divisors (167094812).

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

137385700 is a wasteful number, since it uses less digits than its factorization.

137385700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29292 (or 29285 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 137385700 is about 11721.1646179038. The cubic root of 137385700 is about 515.9970003631.

The spelling of 137385700 in words is "one hundred thirty-seven million, three hundred eighty-five thousand, seven hundred".