137966400 has 504 divisors, whose sum is σ = 584691744. Its totient is φ = 30412800.

The previous prime is 137966383. The next prime is 137966459. The reversal of 137966400 is 4669731.

137966400 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 6 + 640 + 0 = 666.

137966400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2059167 + ... + 2059233.

Almost surely, 2^137966400 is an apocalyptic number.

137966400 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 137966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292345872).

137966400 is an abundant number, since it is smaller than the sum of its proper divisors (446725344).

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

137966400 is a wasteful number, since it uses less digits than its factorization.

137966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 137966400 is about 11745.9099264382. The cubic root of 137966400 is about 516.7229814903.

The spelling of 137966400 in words is "one hundred thirty-seven million, nine hundred sixty-six thousand, four hundred".