125265600 has 126 divisors (see below), whose sum is σ = 445274700. Its totient is φ = 33400320.

The previous prime is 125265599. The next prime is 125265607. The reversal of 125265600 is 6562521.

125265600 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 656 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (125265607) 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, 10051 + ... + 18749.

Almost surely, 2^125265600 is an apocalyptic number.

125265600 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 125265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222637350).

125265600 is an abundant number, since it is smaller than the sum of its proper divisors (320009100).

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

125265600 is a wasteful number, since it uses less digits than its factorization.

125265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125265600 is about 11192.2115776999. The cubic root of 125265600 is about 500.3538828082.

The spelling of 125265600 in words is "one hundred twenty-five million, two hundred sixty-five thousand, six hundred".