125913600 has 180 divisors, whose sum is σ = 451022286. Its totient is φ = 33546240.

The previous prime is 125913587. The next prime is 125913607. The reversal of 125913600 is 6319521.

125913600 is a `hidden beast` number, since 1 + 2 + 59 + 1 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 120824064 + 5089536 = 10992^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (125913607) 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, 114654 + ... + 115746.

Almost surely, 2^125913600 is an apocalyptic number.

125913600 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 125913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225511143).

125913600 is an abundant number, since it is smaller than the sum of its proper divisors (325108686).

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

125913600 is a wasteful number, since it uses less digits than its factorization.

125913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 125913600 is about 11221.1229384585. The cubic root of 125913600 is about 501.2151776275.

The spelling of 125913600 in words is "one hundred twenty-five million, nine hundred thirteen thousand, six hundred".