125082256656 has 160 divisors (see below), whose sum is σ = 382238035200. Its totient is φ = 34486179840.

The previous prime is 125082256631. The next prime is 125082256657. The reversal of 125082256656 is 656652280521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (125082256657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33722130 + ... + 33725838.

It is an arithmetic number, because the mean of its divisors is an integer number (2388987720).

Almost surely, 2^125082256656 is an apocalyptic number.

125082256656 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 125082256656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191119017600).

125082256656 is an abundant number, since it is smaller than the sum of its proper divisors (257155778544).

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

125082256656 is a wasteful number, since it uses less digits than its factorization.

125082256656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 125082256656 in words is "one hundred twenty-five billion, eighty-two million, two hundred fifty-six thousand, six hundred fifty-six".