125388800 has 144 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 47923200.

The previous prime is 125388793. The next prime is 125388803. The reversal of 125388800 is 8883521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125388803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1587161 + ... + 1587239.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2^125388800 is an apocalyptic number.

125388800 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 125388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

125388800 is an abundant number, since it is smaller than the sum of its proper divisors (199590400).

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

125388800 is an equidigital number, since it uses as much as digits as its factorization.

125388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 125388800 is about 11197.7140524305. The cubic root of 125388800 is about 500.5178634497.

The spelling of 125388800 in words is "one hundred twenty-five million, three hundred eighty-eight thousand, eight hundred".