13149504 has 84 divisors (see below), whose sum is σ = 38772084. Its totient is φ = 4257792.

The previous prime is 13149497. The next prime is 13149509. The reversal of 13149504 is 40594131.

13149504 is a `hidden beast` number, since 13 + 149 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 7617600 = 2352^2 + 2760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13149509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21004 + ... + 21620.

Almost surely, 2^13149504 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 13149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386042).

13149504 is an abundant number, since it is smaller than the sum of its proper divisors (25622580).

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

13149504 is a wasteful number, since it uses less digits than its factorization.

13149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13149504 is about 3626.2244828471. The cubic root of 13149504 is about 236.0314044199.

The spelling of 13149504 in words is "thirteen million, one hundred forty-nine thousand, five hundred four".