125536824000 has 1344 divisors, whose sum is σ = 555607728000. Its totient is φ = 27636940800.

The previous prime is 125536823947. The next prime is 125536824031. The reversal of 125536824000 is 428635521.

125536824000 is a `hidden beast` number, since 1 + 2 + 5 + 536 + 82 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306935796 + ... + 306936204.

Almost surely, 2^125536824000 is an apocalyptic number.

125536824000 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 125536824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277803864000).

125536824000 is an abundant number, since it is smaller than the sum of its proper divisors (430070904000).

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

125536824000 is a wasteful number, since it uses less digits than its factorization.

125536824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 125536824000 in words is "one hundred twenty-five billion, five hundred thirty-six million, eight hundred twenty-four thousand".