13264263136 has 96 divisors (see below), whose sum is σ = 28042156800. Its totient is φ = 6162186240.

The previous prime is 13264263119. The next prime is 13264263137. The reversal of 13264263136 is 63136246231.

13264263136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13264263095 and 13264263104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264263137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5551030 + ... + 5553418.

It is an arithmetic number, because the mean of its divisors is an integer number (292105800).

Almost surely, 2^13264263136 is an apocalyptic number.

13264263136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13264263136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021078400).

13264263136 is an abundant number, since it is smaller than the sum of its proper divisors (14777893664).

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

13264263136 is a wasteful number, since it uses less digits than its factorization.

13264263136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2644 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The spelling of 13264263136 in words is "thirteen billion, two hundred sixty-four million, two hundred sixty-three thousand, one hundred thirty-six".