13104144 has 120 divisors (see below), whose sum is σ = 39955032. Its totient is φ = 3993600.

The previous prime is 13104139. The next prime is 13104151. The reversal of 13104144 is 44140131.

It can be written as a sum of positive squares in 4 ways, for example, as 8643600 + 4460544 = 2940^2 + 2112^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129694 + ... + 129794.

Almost surely, 2^13104144 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 13104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19977516).

13104144 is an abundant number, since it is smaller than the sum of its proper divisors (26850888).

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

13104144 is a wasteful number, since it uses less digits than its factorization.

13104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13104144 is about 3619.9646407113. The cubic root of 13104144 is about 235.7596902695.

Adding to 13104144 its reverse (44140131), we get a palindrome (57244275).

The spelling of 13104144 in words is "thirteen million, one hundred four thousand, one hundred forty-four".