13356144 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 4342464.

The previous prime is 13356127. The next prime is 13356151. The reversal of 13356144 is 44165331.

13356144 is a `hidden beast` number, since 13 + 35 + 614 + 4 = 666.

13356144 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 (27).

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, 18217 + ... + 18935.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^13356144 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 13356144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

13356144 is an abundant number, since it is smaller than the sum of its proper divisors (25927056).

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

13356144 is a wasteful number, since it uses less digits than its factorization.

13356144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13356144 is about 3654.6058611019. The cubic root of 13356144 is about 237.2613684374.

The spelling of 13356144 in words is "thirteen million, three hundred fifty-six thousand, one hundred forty-four".