124544 has 32 divisors (see below), whose sum is σ = 285600. Its totient is φ = 52992.

The previous prime is 124543. The next prime is 124561. The reversal of 124544 is 445421.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×124544² = 31022415872, which contains 22 as substring.

Its product of digits (640) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (124541) by changing a digit.

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, 827 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (8925).

2¹²⁴⁵⁴⁴ is an apocalyptic number.

124544 is a gapful number since it is divisible by the number (14) 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 124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800).

124544 is an abundant number, since it is smaller than the sum of its proper divisors (161056).

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

124544 is an equidigital number, since it uses as much as digits as its factorization.

124544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its digits is 640, while the sum is 20.

The square root of 124544 is about 352.9079200018. The cubic root of 124544 is about 49.9391259170.

Subtracting from 124544 its product of digits (640), we obtain a square (123904 = 352²).

Adding to 124544 its reverse (445421), we get a palindrome (569965).

The spelling of 124544 in words is "one hundred twenty-four thousand, five hundred forty-four".