137660400 has 90 divisors (see below), whose sum is σ = 477732320. Its totient is φ = 36708480.

The previous prime is 137660389. The next prime is 137660401. The reversal of 137660400 is 4066731.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137660401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15520 + ... + 22719.

Almost surely, 2^137660400 is an apocalyptic number.

137660400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137660400 is an abundant number, since it is smaller than the sum of its proper divisors (340071920).

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

137660400 is a wasteful number, since it uses less digits than its factorization.

137660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38263 (or 38249 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137660400 is about 11732.8768850611. The cubic root of 137660400 is about 516.3406800161.

It can be divided in two parts, 1376 and 60400, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 137660400 in words is "one hundred thirty-seven million, six hundred sixty thousand, four hundred".