13152144 has 60 divisors (see below), whose sum is σ = 35038928. Its totient is φ = 4250880.

The previous prime is 13152127. The next prime is 13152193. The reversal of 13152144 is 44125131.

It is a self number, because there is not a number n which added to its sum of digits gives 13152144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80607 + ... + 80769.

Almost surely, 2^13152144 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 13152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519464).

13152144 is an abundant number, since it is smaller than the sum of its proper divisors (21886784).

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

13152144 is a wasteful number, since it uses less digits than its factorization.

13152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 209 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 13152144 is about 3626.5884795493. The cubic root of 13152144 is about 236.0471992162.

Adding to 13152144 its reverse (44125131), we get a palindrome (57277275).

The spelling of 13152144 in words is "thirteen million, one hundred fifty-two thousand, one hundred forty-four".