125060 has 36 divisors (see below), whose sum is σ = 292068. Its totient is φ = 44928.

The previous prime is 125053. The next prime is 125063. The reversal of 125060 is 60521.

It can be written as a sum of positive squares in 6 ways, for example, as 6724 + 118336 = 82^2 + 344^2 .

It is not an unprimeable number, because it can be changed into a prime (125063) by changing a digit.

125060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3362 + ... + 3398.

It is an arithmetic number, because the mean of its divisors is an integer number (8113).

125060 is a Friedman number, since it can be written as 60+50^(2+1), using all its digits and the basic arithmetic operations.

2¹²⁵⁰⁶⁰ is an apocalyptic number.

125060 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 125060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146034).

125060 is an abundant number, since it is smaller than the sum of its proper divisors (167008).

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

125060 is a wasteful number, since it uses less digits than its factorization.

125060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 125060 is about 353.6382332271. The cubic root of 125060 is about 50.0079987203.

Subtracting from 125060 its product of nonzero digits (60), we obtain a cube (125000 = 50³).

Adding to 125060 its reverse (60521), we get a palindrome (185581).

The spelling of 125060 in words is "one hundred twenty-five thousand, sixty".