125424 has 60 divisors (see below), whose sum is σ = 383656. Its totient is φ = 38016.

The previous prime is 125423. The next prime is 125429. The reversal of 125424 is 424521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 125397 and 125406.

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 125424.

It is not an unprimeable number, because it can be changed into a prime (125423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839 + ... + 1905.

2¹²⁵⁴²⁴ 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 125424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191828).

125424 is an abundant number, since it is smaller than the sum of its proper divisors (258232).

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

125424 is a wasteful number, since it uses less digits than its factorization.

125424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 125424 is about 354.1525095210. The cubic root of 125424 is about 50.0564695332.

Adding to 125424 its reverse (424521), we get a palindrome (549945).

It can be divided in two parts, 1 and 25424, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 125424 in words is "one hundred twenty-five thousand, four hundred twenty-four".