125364 has 24 divisors (see below), whose sum is σ = 302848. Its totient is φ = 40320.

The previous prime is 125353. The next prime is 125371. The reversal of 125364 is 463521.

It is a happy number.

It is a super-2 number, since 2×125364² = 31432264992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125364.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125364.

It is an unprimeable number.

125364 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, 204 + ... + 540.

125364 is a Friedman number, since it can be written as (4^6-52)*31, using all its digits and the basic arithmetic operations.

2¹²⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

125364 is an abundant number, since it is smaller than the sum of its proper divisors (177484).

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

125364 is a wasteful number, since it uses less digits than its factorization.

125364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 125364 is about 354.0677901193. The cubic root of 125364 is about 50.0484862997.

Adding to 125364 its reverse (463521), we get a palindrome (588885).

The spelling of 125364 in words is "one hundred twenty-five thousand, three hundred sixty-four".