125504812386240 has 2016 divisors, whose sum is σ = 510334412765760. Its totient is φ = 25964418170880.

The previous prime is 125504812386227. The next prime is 125504812386311. The reversal of 125504812386240 is 42683218405521.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151393018146 + ... + 151393018974.

Almost surely, 2^{125504812386240} is an apocalyptic number.

125504812386240 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 125504812386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255167206382880).

125504812386240 is an abundant number, since it is smaller than the sum of its proper divisors (384829600379520).

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

125504812386240 is a wasteful number, since it uses less digits than its factorization.

125504812386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 125504812386240 in words is "one hundred twenty-five trillion, five hundred four billion, eight hundred twelve million, three hundred eighty-six thousand, two hundred forty".