125888 has 28 divisors (see below), whose sum is σ = 286512. Its totient is φ = 53760.

The previous prime is 125887. The next prime is 125897. The reversal of 125888 is 888521.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308 + ... + 588.

2¹²⁵⁸⁸⁸ 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 125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143256).

125888 is an abundant number, since it is smaller than the sum of its proper divisors (160624).

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

125888 is an equidigital number, since it uses as much as digits as its factorization.

125888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its digits is 5120, while the sum is 32.

The square root of 125888 is about 354.8069897846. The cubic root of 125888 is about 50.1181207301.

The spelling of 125888 in words is "one hundred twenty-five thousand, eight hundred eighty-eight".