139964400 has 180 divisors, whose sum is σ = 514511712. Its totient is φ = 35112960.

The previous prime is 139964387. The next prime is 139964423. The reversal of 139964400 is 4469931.

139964400 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 60057 + ... + 62343.

Almost surely, 2^139964400 is an apocalyptic number.

139964400 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 139964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257255856).

139964400 is an abundant number, since it is smaller than the sum of its proper divisors (374547312).

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

139964400 is a wasteful number, since it uses less digits than its factorization.

139964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 139964400 is about 11830.6550959784. The cubic root of 139964400 is about 519.2053938849.

The spelling of 139964400 in words is "one hundred thirty-nine million, nine hundred sixty-four thousand, four hundred".