13563144 has 96 divisors (see below), whose sum is σ = 44478720. Its totient is φ = 3644928.

The previous prime is 13563107. The next prime is 13563149. The reversal of 13563144 is 44136531.

13563144 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13563144 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13563149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7777 + ... + 9359.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 2^13563144 is an apocalyptic number.

13563144 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 13563144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239360).

13563144 is an abundant number, since it is smaller than the sum of its proper divisors (30915576).

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

13563144 is a wasteful number, since it uses less digits than its factorization.

13563144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1612 counting only the distinct ones).

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

The square root of 13563144 is about 3682.8173997634. The cubic root of 13563144 is about 238.4808206826.

Adding to 13563144 its reverse (44136531), we get a palindrome (57699675).

The spelling of 13563144 in words is "thirteen million, five hundred sixty-three thousand, one hundred forty-four".