137358400 has 63 divisors (see below), whose sum is σ = 339144991. Its totient is φ = 54755840.

The previous prime is 137358379. The next prime is 137358401. The reversal of 137358400 is 4853731.

The square root of 137358400 is 11720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21752896 + 115605504 = 4664^2 + 10752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137358401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 468654 + ... + 468946.

Almost surely, 2^137358400 is an apocalyptic number.

137358400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137358400 is the 11720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137358400

137358400 is an abundant number, since it is smaller than the sum of its proper divisors (201786591).

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

137358400 is an frugal number, since it uses more digits than its factorization.

137358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The cubic root of 137358400 is about 515.9628200681.

The spelling of 137358400 in words is "one hundred thirty-seven million, three hundred fifty-eight thousand, four hundred".