125967688 has 128 divisors (see below), whose sum is σ = 325969920. Its totient is φ = 44098560.

The previous prime is 125967679. The next prime is 125967691. The reversal of 125967688 is 886769521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240595 + ... + 241117.

It is an arithmetic number, because the mean of its divisors is an integer number (2546640).

Almost surely, 2^125967688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125967688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162984960).

125967688 is an abundant number, since it is smaller than the sum of its proper divisors (200002232).

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

125967688 is a wasteful number, since it uses less digits than its factorization.

125967688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The square root of 125967688 is about 11223.5327771607. The cubic root of 125967688 is about 501.2869354192.

The spelling of 125967688 in words is "one hundred twenty-five million, nine hundred sixty-seven thousand, six hundred eighty-eight".