125708800 has 240 divisors, whose sum is σ = 377511552. Its totient is φ = 40550400.

The previous prime is 125708743. The next prime is 125708831. The reversal of 125708800 is 8807521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060770 + ... + 2060830.

Almost surely, 2^125708800 is an apocalyptic number.

125708800 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 125708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188755776).

125708800 is an abundant number, since it is smaller than the sum of its proper divisors (251802752).

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

125708800 is an equidigital number, since it uses as much as digits as its factorization.

125708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 125708800 is about 11211.9935783071. The cubic root of 125708800 is about 500.9432859707.

The spelling of 125708800 in words is "one hundred twenty-five million, seven hundred eight thousand, eight hundred".