13087144 has 64 divisors (see below), whose sum is σ = 30326400. Its totient is φ = 5167104.

The previous prime is 13087111. The next prime is 13087153. The reversal of 13087144 is 44178031.

13087144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56052 + ... + 56284.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 2^13087144 is an apocalyptic number.

13087144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13087144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200).

13087144 is an abundant number, since it is smaller than the sum of its proper divisors (17239256).

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

13087144 is a wasteful number, since it uses less digits than its factorization.

13087144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 13087144 is about 3617.6157894392. The cubic root of 13087144 is about 235.6576958383.

It can be divided in two parts, 13087 and 144, that added together give a palindrome (13231).

The spelling of 13087144 in words is "thirteen million, eighty-seven thousand, one hundred forty-four".