125625600 has 216 divisors, whose sum is σ = 461289920. Its totient is φ = 33454080.

The previous prime is 125625589. The next prime is 125625607. The reversal of 125625600 is 6526521.

125625600 is a `hidden beast` number, since 1 + 2 + 56 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125625607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172437 + ... + 173163.

Almost surely, 2^125625600 is an apocalyptic number.

125625600 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 125625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230644960).

125625600 is an abundant number, since it is smaller than the sum of its proper divisors (335664320).

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

125625600 is an equidigital number, since it uses as much as digits as its factorization.

125625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 737 counting only the distinct ones).

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

The square root of 125625600 is about 11208.2826516822. The cubic root of 125625600 is about 500.8327456328.

The spelling of 125625600 in words is "one hundred twenty-five million, six hundred twenty-five thousand, six hundred".