13070144 has 56 divisors (see below), whose sum is σ = 28227528. Its totient is φ = 5980160.

The previous prime is 13070143. The next prime is 13070149. The reversal of 13070144 is 44107031.

13070144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3385600 + 9684544 = 1840^2 + 3112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13070143) 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, 44462 + ... + 44754.

It is an arithmetic number, because the mean of its divisors is an integer number (504063).

Almost surely, 2^13070144 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 13070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113764).

13070144 is an abundant number, since it is smaller than the sum of its proper divisors (15157384).

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

13070144 is a wasteful number, since it uses less digits than its factorization.

13070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 13070144 is about 3615.2654121102. The cubic root of 13070144 is about 235.5556130427. Note that the first 3 decimals are identical.

Adding to 13070144 its reverse (44107031), we get a palindrome (57177175).

The spelling of 13070144 in words is "thirteen million, seventy thousand, one hundred forty-four".