13802144 has 48 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 6553344.

The previous prime is 13802141. The next prime is 13802149. The reversal of 13802144 is 44120831.

It is not an unprimeable number, because it can be changed into a prime (13802141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99227 + ... + 99365.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 2^13802144 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 13802144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

13802144 is an abundant number, since it is smaller than the sum of its proper divisors (14774656).

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

13802144 is a wasteful number, since it uses less digits than its factorization.

13802144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 13802144 is about 3715.1236856934. The cubic root of 13802144 is about 239.8734518034.

Adding to 13802144 its reverse (44120831), we get a palindrome (57922975).

The spelling of 13802144 in words is "thirteen million, eight hundred two thousand, one hundred forty-four".