137330400 has 72 divisors (see below), whose sum is σ = 447018264. Its totient is φ = 36620800.

The previous prime is 137330393. The next prime is 137330419. The reversal of 137330400 is 4033731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26211 + ... + 31010.

It is an arithmetic number, because the mean of its divisors is an integer number (6208587).

Almost surely, 2^137330400 is an apocalyptic number.

137330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137330400 is an abundant number, since it is smaller than the sum of its proper divisors (309687864).

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

137330400 is a wasteful number, since it uses less digits than its factorization.

137330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57244 (or 57231 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 137330400 is about 11718.8053998690. The cubic root of 137330400 is about 515.9277586504.

The spelling of 137330400 in words is "one hundred thirty-seven million, three hundred thirty thousand, four hundred".