125264800 has 72 divisors (see below), whose sum is σ = 315729792. Its totient is φ = 48480000.

The previous prime is 125264773. The next prime is 125264809. The reversal of 125264800 is 8462521.

It is not an unprimeable number, because it can be changed into a prime (125264809) 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, 22275 + ... + 27325.

It is an arithmetic number, because the mean of its divisors is an integer number (4385136).

Almost surely, 2^125264800 is an apocalyptic number.

125264800 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 125264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157864896).

125264800 is an abundant number, since it is smaller than the sum of its proper divisors (190464992).

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

125264800 is a wasteful number, since it uses less digits than its factorization.

125264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 125264800 is about 11192.1758385043. The cubic root of 125264800 is about 500.3528176475.

The spelling of 125264800 in words is "one hundred twenty-five million, two hundred sixty-four thousand, eight hundred".