137919400 has 24 divisors (see below), whose sum is σ = 320663070. Its totient is φ = 55167680.

The previous prime is 137919391. The next prime is 137919413. The reversal of 137919400 is 4919731.

It can be written as a sum of positive squares in 3 ways, for example, as 89226916 + 48692484 = 9446^2 + 6978^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 344599 + ... + 344998.

Almost surely, 2^137919400 is an apocalyptic number.

137919400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137919400 is an abundant number, since it is smaller than the sum of its proper divisors (182743670).

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

137919400 is a wasteful number, since it uses less digits than its factorization.

137919400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689613 (or 689604 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 137919400 is about 11743.9090595934. The cubic root of 137919400 is about 516.6642987520.

The spelling of 137919400 in words is "one hundred thirty-seven million, nine hundred nineteen thousand, four hundred".