125357924230200 has 1344 divisors, whose sum is σ = 476381128629600. Its totient is φ = 30560277196800.

The previous prime is 125357924230153. The next prime is 125357924230307. The reversal of 125357924230200 is 2032429753521.

125357924230200 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 579 + 2 + 42 + 30 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8956049602 + ... + 8956063598.

Almost surely, 2^{125357924230200} is an apocalyptic number.

125357924230200 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 125357924230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238190564314800).

125357924230200 is an abundant number, since it is smaller than the sum of its proper divisors (351023204399400).

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

125357924230200 is a wasteful number, since it uses less digits than its factorization.

125357924230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14164 (or 14140 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 125357924230200 in words is "one hundred twenty-five trillion, three hundred fifty-seven billion, nine hundred twenty-four million, two hundred thirty thousand, two hundred".