13508144 has 40 divisors (see below), whose sum is σ = 28508592. Its totient is φ = 6163200.

The previous prime is 13508137. The next prime is 13508161. The reversal of 13508144 is 44180531.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

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, 20687 + ... + 21329.

Almost surely, 2^13508144 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 13508144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254296).

13508144 is an abundant number, since it is smaller than the sum of its proper divisors (15000448).

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

13508144 is a wasteful number, since it uses less digits than its factorization.

13508144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 13508144 is about 3675.3427051093. The cubic root of 13508144 is about 238.1580288894.

Adding to 13508144 its reverse (44180531), we get a palindrome (57688675).

The spelling of 13508144 in words is "thirteen million, five hundred eight thousand, one hundred forty-four".