13002144 has 96 divisors (see below), whose sum is σ = 37449216. Its totient is φ = 3932160.

The previous prime is 13002139. The next prime is 13002149. The reversal of 13002144 is 44120031.

It is an interprime number because it is at equal distance from previous prime (13002139) and next prime (13002149).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13002149) 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, 50464 + ... + 50720.

It is an arithmetic number, because the mean of its divisors is an integer number (390096).

Almost surely, 2^13002144 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 13002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724608).

13002144 is an abundant number, since it is smaller than the sum of its proper divisors (24447072).

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

13002144 is a wasteful number, since it uses less digits than its factorization.

13002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13002144 is about 3605.8485825115. The cubic root of 13002144 is about 235.1463943732.

Adding to 13002144 its reverse (44120031), we get a palindrome (57122175).

The spelling of 13002144 in words is "thirteen million, two thousand, one hundred forty-four".