125040 has 40 divisors (see below), whose sum is σ = 388368. Its totient is φ = 33280.

The previous prime is 125029. The next prime is 125053. The reversal of 125040 is 40521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

125040 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, 21 + ... + 500.

125040 is a Friedman number, since it can be written as 50^(2+1)+40, using all its digits and the basic arithmetic operations.

2¹²⁵⁰⁴⁰ is an apocalyptic number.

125040 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 125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194184).

125040 is an abundant number, since it is smaller than the sum of its proper divisors (263328).

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

125040 is a wasteful number, since it uses less digits than its factorization.

125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 125040 is about 353.6099546110. The cubic root of 125040 is about 50.0053327645.

Subtracting from 125040 its product of nonzero digits (40), we obtain a cube (125000 = 50³).

Adding to 125040 its reverse (40521), we get a palindrome (165561).

The spelling of 125040 in words is "one hundred twenty-five thousand, forty".