13242144 has 48 divisors (see below), whose sum is σ = 34957440. Its totient is φ = 4389120.

The previous prime is 13242121. The next prime is 13242157. The reversal of 13242144 is 44124231.

It is a tau number, because it is divible by the number of its divisors (48).

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 13242144.

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, 25762 + ... + 26270.

It is an arithmetic number, because the mean of its divisors is an integer number (728280).

Almost surely, 2^13242144 is an apocalyptic number.

It is an amenable number.

13242144 is an abundant number, since it is smaller than the sum of its proper divisors (21715296).

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

13242144 is a wasteful number, since it uses less digits than its factorization.

13242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

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

The square root of 13242144 is about 3638.9756800506. The cubic root of 13242144 is about 236.5843986581.

Adding to 13242144 its reverse (44124231), we get a palindrome (57366375).

The spelling of 13242144 in words is "thirteen million, two hundred forty-two thousand, one hundred forty-four".