125106688 has 80 divisors (see below), whose sum is σ = 290499264. Its totient is φ = 52715520.

The previous prime is 125106673. The next prime is 125106713. The reversal of 125106688 is 886601521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239868 + ... + 240388.

Almost surely, 2^125106688 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 125106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145249632).

125106688 is an abundant number, since it is smaller than the sum of its proper divisors (165392576).

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

125106688 is an frugal number, since it uses more digits than its factorization.

125106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 125106688 is about 11185.1101022744. The cubic root of 125106688 is about 500.1422102153.

The spelling of 125106688 in words is "one hundred twenty-five million, one hundred six thousand, six hundred eighty-eight".