125978400 has 108 divisors (see below), whose sum is σ = 444256722. Its totient is φ = 33592320.

The previous prime is 125978399. The next prime is 125978441. The reversal of 125978400 is 4879521.

It can be written as a sum of positive squares in 3 ways, for example, as 48608784 + 77369616 = 6972^2 + 8796^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1549 + ... + 15948.

Almost surely, 2^125978400 is an apocalyptic number.

125978400 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 125978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222128361).

125978400 is an abundant number, since it is smaller than the sum of its proper divisors (318278322).

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

125978400 is a wasteful number, since it uses less digits than its factorization.

125978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17523 (or 17507 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125978400 is about 11224.0099786128. The cubic root of 125978400 is about 501.3011444425.

The spelling of 125978400 in words is "one hundred twenty-five million, nine hundred seventy-eight thousand, four hundred".