24132144 has 40 divisors (see below), whose sum is σ = 62620992. Its totient is φ = 8008000.

The previous prime is 24132137. The next prime is 24132169. The reversal of 24132144 is 44123142.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 24132144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11047 + ... + 13049.

Almost surely, 2^24132144 is an apocalyptic number.

24132144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24132144 is an abundant number, since it is smaller than the sum of its proper divisors (38488848).

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

24132144 is a wasteful number, since it uses less digits than its factorization.

24132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2259 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 24132144 is about 4912.4478623187. The cubic root of 24132144 is about 288.9783471363.

Adding to 24132144 its reverse (44123142), we get a palindrome (68255286).

It can be divided in two parts, 241 and 32144, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 24132144 in words is "twenty-four million, one hundred thirty-two thousand, one hundred forty-four".