125596800 has 432 divisors, whose sum is σ = 527184450. Its totient is φ = 28385280.

The previous prime is 125596787. The next prime is 125596811. The reversal of 125596800 is 8695521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73410624 + 52186176 = 8568^2 + 7224^2 .

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

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 1411156 + ... + 1411244.

Almost surely, 2^125596800 is an apocalyptic number.

125596800 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 125596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263592225).

125596800 is an abundant number, since it is smaller than the sum of its proper divisors (401587650).

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

125596800 is a wasteful number, since it uses less digits than its factorization.

125596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 125596800 is about 11206.9978138661. The cubic root of 125596800 is about 500.7944702986.

The spelling of 125596800 in words is "one hundred twenty-five million, five hundred ninety-six thousand, eight hundred".