125081542656 has 420 divisors, whose sum is σ = 434799184248. Its totient is φ = 35728293888.

The previous prime is 125081542639. The next prime is 125081542661. The reversal of 125081542656 is 656245180521.

125081542656 is a `hidden beast` number, since 1 + 2 + 50 + 8 + 1 + 542 + 6 + 56 = 666.

It is a super-3 number, since 3×125081542656³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32512125 + ... + 32515971.

Almost surely, 2^125081542656 is an apocalyptic number.

125081542656 is a gapful number since it is divisible by the number (16) 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 125081542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217399592124).

125081542656 is an abundant number, since it is smaller than the sum of its proper divisors (309717641592).

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

125081542656 is an frugal number, since it uses more digits than its factorization.

125081542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 125081542656 in words is "one hundred twenty-five billion, eighty-one million, five hundred forty-two thousand, six hundred fifty-six".