137600400 has 120 divisors (see below), whose sum is σ = 503779264. Its totient is φ = 31449600.

The previous prime is 137600381. The next prime is 137600453. The reversal of 137600400 is 4006731.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210 + ... + 16590.

Almost surely, 2^137600400 is an apocalyptic number.

137600400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251889632).

137600400 is an abundant number, since it is smaller than the sum of its proper divisors (366178864).

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

137600400 is a wasteful number, since it uses less digits than its factorization.

137600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16409 (or 16398 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 137600400 is about 11730.3196887382. The cubic root of 137600400 is about 516.2656525261.

The spelling of 137600400 in words is "one hundred thirty-seven million, six hundred thousand, four hundred".