125308886976 has 1008 divisors, whose sum is σ = 473744544000. Its totient is φ = 32810738688.

The previous prime is 125308886947. The next prime is 125308886981. The reversal of 125308886976 is 679688803521.

125308886976 is a `hidden beast` number, since 1 + 2 + 530 + 8 + 8 + 8 + 6 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 901502715 + ... + 901502853.

Almost surely, 2^125308886976 is an apocalyptic number.

125308886976 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 125308886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236872272000).

125308886976 is an abundant number, since it is smaller than the sum of its proper divisors (348435657024).

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

125308886976 is an equidigital number, since it uses as much as digits as its factorization.

125308886976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 125308886976 in words is "one hundred twenty-five billion, three hundred eight million, eight hundred eighty-six thousand, nine hundred seventy-six".