13306144 has 48 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 6265600.

The previous prime is 13306129. The next prime is 13306151. The reversal of 13306144 is 44160331.

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, 74247 + ... + 74425.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 2^13306144 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 13306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

13306144 is an abundant number, since it is smaller than the sum of its proper divisors (14454176).

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

13306144 is a wasteful number, since it uses less digits than its factorization.

13306144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13306144 is about 3647.7587639536. The cubic root of 13306144 is about 236.9649280177.

Adding to 13306144 its reverse (44160331), we get a palindrome (57466475).

The spelling of 13306144 in words is "thirteen million, three hundred six thousand, one hundred forty-four".