125268 has 48 divisors (see below), whose sum is σ = 348096. Its totient is φ = 34560.

The previous prime is 125261. The next prime is 125269. The reversal of 125268 is 862521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680 + ... + 1752.

It is an arithmetic number, because the mean of its divisors is an integer number (7252).

2¹²⁵²⁶⁸ 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 125268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174048).

125268 is an abundant number, since it is smaller than the sum of its proper divisors (222828).

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

125268 is a wasteful number, since it uses less digits than its factorization.

125268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 125268 is about 353.9321968965. The cubic root of 125268 is about 50.0357078263.

Adding to 125268 its reverse (862521), we get a palindrome (987789).

It can be divided in two parts, 125 and 268, that added together give a palindrome (393).

The spelling of 125268 in words is "one hundred twenty-five thousand, two hundred sixty-eight".