125308800 has 288 divisors, whose sum is σ = 472719000. Its totient is φ = 31518720.

The previous prime is 125308769. The next prime is 125308811. The reversal of 125308800 is 8803521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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, 547086 + ... + 547314.

Almost surely, 2^125308800 is an apocalyptic number.

125308800 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 125308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236359500).

125308800 is an abundant number, since it is smaller than the sum of its proper divisors (347410200).

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

125308800 is a wasteful number, since it uses less digits than its factorization.

125308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125308800 is about 11194.1413248181. The cubic root of 125308800 is about 500.4113947492.

The spelling of 125308800 in words is "one hundred twenty-five million, three hundred eight thousand, eight hundred".