13026144 has 48 divisors (see below), whose sum is σ = 34933248. Its totient is φ = 4248192.

The previous prime is 13026137. The next prime is 13026179. The reversal of 13026144 is 44162031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13026144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3069 + ... + 5955.

It is an arithmetic number, because the mean of its divisors is an integer number (727776).

Almost surely, 2^13026144 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 13026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466624).

13026144 is an abundant number, since it is smaller than the sum of its proper divisors (21907104).

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

13026144 is a wasteful number, since it uses less digits than its factorization.

13026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13026144 is about 3609.1749749770. The cubic root of 13026144 is about 235.2909870564.

Adding to 13026144 its reverse (44162031), we get a palindrome (57188175).

It can be divided in two parts, 130261 and 44, that added together give a triangular number (130305 = T₅₁₀).

The spelling of 13026144 in words is "thirteen million, twenty-six thousand, one hundred forty-four".