125688 has 16 divisors (see below), whose sum is σ = 314280. Its totient is φ = 41888.

The previous prime is 125687. The next prime is 125693. The reversal of 125688 is 886521.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125683) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2595 + ... + 2642.

2¹²⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

125688 is an abundant number, since it is smaller than the sum of its proper divisors (188592).

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

125688 is a wasteful number, since it uses less digits than its factorization.

125688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5242 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 125688 is about 354.5250343770. The cubic root of 125688 is about 50.0915655460.

The spelling of 125688 in words is "one hundred twenty-five thousand, six hundred eighty-eight".