125238758400 has 1584 divisors, whose sum is σ = 556472200960. Its totient is φ = 26276659200.

The previous prime is 125238758387. The next prime is 125238758417. The reversal of 125238758400 is 4857832521.

125238758400 is a `hidden beast` number, since 1 + 2 + 5 + 238 + 7 + 5 + 8 + 400 = 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 143 ways as a sum of consecutive naturals, for example, 1869235167 + ... + 1869235233.

Almost surely, 2^125238758400 is an apocalyptic number.

125238758400 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 125238758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278236100480).

125238758400 is an abundant number, since it is smaller than the sum of its proper divisors (431233442560).

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

125238758400 is a wasteful number, since it uses less digits than its factorization.

125238758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 125238758400 in words is "one hundred twenty-five billion, two hundred thirty-eight million, seven hundred fifty-eight thousand, four hundred".