125357157194400 has 324 divisors, whose sum is σ = 469572628541562. Its totient is φ = 31462187950080.

The previous prime is 125357157194389. The next prime is 125357157194429. The reversal of 125357157194400 is 4491751753521.

It is a happy number.

125357157194400 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 571 + 57 + 19 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 12406259151504 + 112950898042896 = 3522252^2 + 10627836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 28041547 + ... + 32203146.

Almost surely, 2^{125357157194400} is an apocalyptic number.

125357157194400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125357157194400 is an abundant number, since it is smaller than the sum of its proper divisors (344215471347162).

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

125357157194400 is a wasteful number, since it uses less digits than its factorization.

125357157194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60244753 (or 60244720 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 125357157194400 in words is "one hundred twenty-five trillion, three hundred fifty-seven billion, one hundred fifty-seven million, one hundred ninety-four thousand, four hundred".