125636 has 18 divisors (see below), whose sum is σ = 256158. Its totient is φ = 53760.

The previous prime is 125627. The next prime is 125639. The reversal of 125636 is 636521.

125636 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 3136 = 350^2 + 56^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (125639) by changing a digit.

125636 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 5 ways as a sum of consecutive naturals, for example, 125 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (14231).

2¹²⁵⁶³⁶ is an apocalyptic number.

It is an amenable number.

125636 is an abundant number, since it is smaller than the sum of its proper divisors (130522).

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

125636 is a wasteful number, since it uses less digits than its factorization.

125636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 125636 is about 354.4516892328. The cubic root of 125636 is about 50.0846565844.

The spelling of 125636 in words is "one hundred twenty-five thousand, six hundred thirty-six".