125877600 has 108 divisors (see below), whose sum is σ = 443901276. Its totient is φ = 33565440.

The previous prime is 125877581. The next prime is 125877601. The reversal of 125877600 is 6778521.

125877600 is a `hidden beast` number, since 1 + 2 + 587 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125877601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1542 + ... + 15941.

It is an arithmetic number, because the mean of its divisors is an integer number (4110197).

Almost surely, 2^125877600 is an apocalyptic number.

125877600 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 125877600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221950638).

125877600 is an abundant number, since it is smaller than the sum of its proper divisors (318023676).

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

125877600 is a wasteful number, since it uses less digits than its factorization.

125877600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17509 (or 17493 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 125877600 is about 11219.5187062547. The cubic root of 125877600 is about 501.1674055406.

The spelling of 125877600 in words is "one hundred twenty-five million, eight hundred seventy-seven thousand, six hundred".