13614144 has 112 divisors (see below), whose sum is σ = 39428928. Its totient is φ = 4128768.

The previous prime is 13614143. The next prime is 13614193. The reversal of 13614144 is 44141631.

13614144 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13614143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140304 + ... + 140400.

It is an arithmetic number, because the mean of its divisors is an integer number (352044).

Almost surely, 2^13614144 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 13614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19714464).

13614144 is an abundant number, since it is smaller than the sum of its proper divisors (25814784).

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

13614144 is a wasteful number, since it uses less digits than its factorization.

13614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 13614144 is about 3689.7349498304. The cubic root of 13614144 is about 238.7793578840.

Adding to 13614144 its reverse (44141631), we get a palindrome (57755775).

The spelling of 13614144 in words is "thirteen million, six hundred fourteen thousand, one hundred forty-four".