125928000 has 448 divisors, whose sum is σ = 513527040. Its totient is φ = 29952000.

The previous prime is 125927999. The next prime is 125928017. The reversal of 125928000 is 829521.

It is a super-2 number, since 2×125928000² = 31715722368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2375974 + ... + 2376026.

Almost surely, 2^125928000 is an apocalyptic number.

125928000 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 125928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256763520).

125928000 is an abundant number, since it is smaller than the sum of its proper divisors (387599040).

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

125928000 is a wasteful number, since it uses less digits than its factorization.

125928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 125928000 is about 11221.7645671258. The cubic root of 125928000 is about 501.2342839126.

The spelling of 125928000 in words is "one hundred twenty-five million, nine hundred twenty-eight thousand".