125160 has 64 divisors (see below), whose sum is σ = 432000. Its totient is φ = 28416.

The previous prime is 125149. The next prime is 125183. The reversal of 125160 is 61521.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2¹²⁵¹⁶⁰ is an apocalyptic number.

125160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000).

125160 is an abundant number, since it is smaller than the sum of its proper divisors (306840).

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

125160 is a wasteful number, since it uses less digits than its factorization.

125160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 125160 is about 353.7795924018. The cubic root of 125160 is about 50.0213242376.

Adding to 125160 its reverse (61521), we get a palindrome (186681).

The spelling of 125160 in words is "one hundred twenty-five thousand, one hundred sixty".