125605600 has 36 divisors (see below), whose sum is σ = 306636624. Its totient is φ = 50241920.

The previous prime is 125605589. The next prime is 125605609. The reversal of 125605600 is 6506521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125605609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77704 + ... + 79303.

It is an arithmetic number, because the mean of its divisors is an integer number (8517684).

Almost surely, 2^125605600 is an apocalyptic number.

125605600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125605600 is an abundant number, since it is smaller than the sum of its proper divisors (181031024).

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

125605600 is a wasteful number, since it uses less digits than its factorization.

125605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157027 (or 157014 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 125605600 is about 11207.3904188263. The cubic root of 125605600 is about 500.8061661603.

The spelling of 125605600 in words is "one hundred twenty-five million, six hundred five thousand, six hundred".