13535144 has 32 divisors (see below), whose sum is σ = 30532800. Its totient is φ = 5495040.

The previous prime is 13535117. The next prime is 13535167. The reversal of 13535144 is 44153531.

13535144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5297 + ... + 7424.

It is an arithmetic number, because the mean of its divisors is an integer number (954150).

Almost surely, 2^13535144 is an apocalyptic number.

13535144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13535144 is an abundant number, since it is smaller than the sum of its proper divisors (16997656).

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

13535144 is a wasteful number, since it uses less digits than its factorization.

13535144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12753 (or 12749 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 13535144 is about 3679.0139983425. The cubic root of 13535144 is about 238.3165995826.

Adding to 13535144 its reverse (44153531), we get a palindrome (57688675).

The spelling of 13535144 in words is "thirteen million, five hundred thirty-five thousand, one hundred forty-four".