125353267200 has 1560 divisors, whose sum is σ = 566312896512. Its totient is φ = 26754416640.

The previous prime is 125353267199. The next prime is 125353267231. The reversal of 125353267200 is 2762353521.

125353267200 is a `hidden beast` number, since 1 + 2 + 53 + 532 + 6 + 72 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 987033537 + ... + 987033663.

Almost surely, 2^125353267200 is an apocalyptic number.

125353267200 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 125353267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283156448256).

125353267200 is an abundant number, since it is smaller than the sum of its proper divisors (440959629312).

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

125353267200 is a wasteful number, since it uses less digits than its factorization.

125353267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 125353267200 in words is "one hundred twenty-five billion, three hundred fifty-three million, two hundred sixty-seven thousand, two hundred".