13144144 has 30 divisors (see below), whose sum is σ = 27582126. Its totient is φ = 6065280.

The previous prime is 13144141. The next prime is 13144169. The reversal of 13144144 is 44144131.

It can be written as a sum of positive squares in 3 ways, for example, as 810000 + 12334144 = 900^2 + 3512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274 + ... + 5134.

Almost surely, 2^13144144 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 13144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791063).

13144144 is an abundant number, since it is smaller than the sum of its proper divisors (14437982).

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

13144144 is a wasteful number, since it uses less digits than its factorization.

13144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4876 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 13144144 is about 3625.4853468191. The cubic root of 13144144 is about 235.9993296926. Note that the first 3 decimals are identical.

Adding to 13144144 its reverse (44144131), we get a palindrome (57288275).

The spelling of 13144144 in words is "thirteen million, one hundred forty-four thousand, one hundred forty-four".