125884800 has 384 divisors, whose sum is σ = 485683200. Its totient is φ = 31795200.

The previous prime is 125884789. The next prime is 125884807. The reversal of 125884800 is 8488521.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125884807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678377 + ... + 2678423.

It is an arithmetic number, because the mean of its divisors is an integer number (1264800).

Almost surely, 2^125884800 is an apocalyptic number.

125884800 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 125884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841600).

125884800 is an abundant number, since it is smaller than the sum of its proper divisors (359798400).

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

125884800 is a wasteful number, since it uses less digits than its factorization.

125884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

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

The square root of 125884800 is about 11219.8395710456. The cubic root of 125884800 is about 501.1769606866.

The spelling of 125884800 in words is "one hundred twenty-five million, eight hundred eighty-four thousand, eight hundred".