125132800 has 168 divisors, whose sum is σ = 341290656. Its totient is φ = 45219840.

The previous prime is 125132797. The next prime is 125132807. The reversal of 125132800 is 8231521.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125132807) 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, 2662377 + ... + 2662423.

It is an arithmetic number, because the mean of its divisors is an integer number (2031492).

Almost surely, 2^125132800 is an apocalyptic number.

125132800 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 125132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170645328).

125132800 is an abundant number, since it is smaller than the sum of its proper divisors (216157856).

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

125132800 is an equidigital number, since it uses as much as digits as its factorization.

125132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 125132800 is about 11186.2773074871. The cubic root of 125132800 is about 500.1770039984.

The spelling of 125132800 in words is "one hundred twenty-five million, one hundred thirty-two thousand, eight hundred".