125888400 has 405 divisors, whose sum is σ = 510101683. Its totient is φ = 28723200.

The previous prime is 125888363. The next prime is 125888423. The reversal of 125888400 is 4888521.

The square root of 125888400 is 11220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2944656 + 122943744 = 1716^2 + 11088^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7405192 + ... + 7405208.

Almost surely, 2^125888400 is an apocalyptic number.

125888400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125888400 is the 11220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125888400

125888400 is an abundant number, since it is smaller than the sum of its proper divisors (384213283).

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

125888400 is a wasteful number, since it uses less digits than its factorization.

125888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The cubic root of 125888400 is about 501.1817381229.

Multiplying 125888400 by its sum of digits (36), we get a square (4531982400 = 67320²).

125888400 divided by its sum of digits (36) gives a square (3496900 = 1870²).

Multiplying 125888400 by its reverse (4888521), we get a square (615408087056400 = 24807420²).

The spelling of 125888400 in words is "one hundred twenty-five million, eight hundred eighty-eight thousand, four hundred".