125501604336000 has 256 divisors, whose sum is σ = 462264244228800. Its totient is φ = 33467094374400.

The previous prime is 125501604335929. The next prime is 125501604336071. The reversal of 125501604336000 is 633406105521.

125501604336000 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 0 + 1 + 6 + 0 + 43 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125501604335929) and next prime (125501604336071).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144824487 + ... + 145688486.

Almost surely, 2^{125501604336000} is an apocalyptic number.

125501604336000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125501604336000 is an abundant number, since it is smaller than the sum of its proper divisors (336762639892800).

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

125501604336000 is an equidigital number, since it uses as much as digits as its factorization.

125501604336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290513011 (or 290512983 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 125501604336000 in words is "one hundred twenty-five trillion, five hundred one billion, six hundred four million, three hundred thirty-six thousand".