125234978400 has 432 divisors, whose sum is σ = 505349155584. Its totient is φ = 28588170240.

The previous prime is 125234978371. The next prime is 125234978443. The reversal of 125234978400 is 4879432521.

125234978400 is a `hidden beast` number, since 1 + 2 + 5 + 234 + 9 + 7 + 8 + 400 = 666.

125234978400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 65670247 + ... + 65672153.

It is an arithmetic number, because the mean of its divisors is an integer number (1169789712).

Almost surely, 2^125234978400 is an apocalyptic number.

125234978400 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 125234978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252674577792).

125234978400 is an abundant number, since it is smaller than the sum of its proper divisors (380114177184).

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

125234978400 is a wasteful number, since it uses less digits than its factorization.

125234978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 125234978400 in words is "one hundred twenty-five billion, two hundred thirty-four million, nine hundred seventy-eight thousand, four hundred".