124438144 has 48 divisors (see below), whose sum is σ = 261735570. Its totient is φ = 58922496.

The previous prime is 124438133. The next prime is 124438151. The reversal of 124438144 is 441834421.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 14440000 = 10488^2 + 3800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44862 + ... + 47554.

Almost surely, 2^124438144 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 124438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130867785).

124438144 is an abundant number, since it is smaller than the sum of its proper divisors (137297426).

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

124438144 is an equidigital number, since it uses as much as digits as its factorization.

124438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2714 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 124438144 is about 11155.1846242005. The cubic root of 124438144 is about 499.2497334299.

The spelling of 124438144 in words is "one hundred twenty-four million, four hundred thirty-eight thousand, one hundred forty-four".