125504 has 28 divisors (see below), whose sum is σ = 260604. Its totient is φ = 59904.

The previous prime is 125497. The next prime is 125507. The reversal of 125504 is 405521.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 23104 = 320^2 + 152^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125504.

It is not an unprimeable number, because it can be changed into a prime (125507) by changing a digit.

125504 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 3 ways as a sum of consecutive naturals, for example, 2342 + ... + 2394.

2¹²⁵⁵⁰⁴ 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 125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130302).

125504 is an abundant number, since it is smaller than the sum of its proper divisors (135100).

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

125504 is an equidigital number, since it uses as much as digits as its factorization.

125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 125504 is about 354.2654372078. The cubic root of 125504 is about 50.0671098850.

Adding to 125504 its sum of digits (17), we get a palindrome (125521).

The spelling of 125504 in words is "one hundred twenty-five thousand, five hundred four".