13005144 has 32 divisors (see below), whose sum is σ = 36126000. Its totient is φ = 4334976.

The previous prime is 13005133. The next prime is 13005173. The reversal of 13005144 is 44150031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 29889 + ... + 30320.

Almost surely, 2^13005144 is an apocalyptic number.

It is an amenable number.

13005144 is an abundant number, since it is smaller than the sum of its proper divisors (23120856).

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

13005144 is a wasteful number, since it uses less digits than its factorization.

13005144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60224 (or 60214 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13005144 is about 3606.2645493641. The cubic root of 13005144 is about 235.1644781840.

Adding to 13005144 its reverse (44150031), we get a palindrome (57155175).

The spelling of 13005144 in words is "thirteen million, five thousand, one hundred forty-four".