125256 has 32 divisors (see below), whose sum is σ = 332640. Its totient is φ = 39168.

The previous prime is 125243. The next prime is 125261. The reversal of 125256 is 652521.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

125256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2¹²⁵²⁵⁶ 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 125256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

125256 is an abundant number, since it is smaller than the sum of its proper divisors (207384).

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

125256 is a wasteful number, since it uses less digits than its factorization.

125256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 125256 is about 353.9152440910. The cubic root of 125256 is about 50.0341100581.

Adding to 125256 its reverse (652521), we get a palindrome (777777).

The spelling of 125256 in words is "one hundred twenty-five thousand, two hundred fifty-six".