13140864 has 192 divisors, whose sum is σ = 44394480. Its totient is φ = 3686400.

The previous prime is 13140859. The next prime is 13140887. The reversal of 13140864 is 46804131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 215394 + ... + 215454.

Almost surely, 2^13140864 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 13140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197240).

13140864 is an abundant number, since it is smaller than the sum of its proper divisors (31253616).

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

13140864 is a wasteful number, since it uses less digits than its factorization.

13140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13140864 is about 3625.0329653673. The cubic root of 13140864 is about 235.9796975736.

Adding to 13140864 its reverse (46804131), we get a palindrome (59944995).

The spelling of 13140864 in words is "thirteen million, one hundred forty thousand, eight hundred sixty-four".