13075289136 has 320 divisors, whose sum is σ = 48203581440. Its totient is φ = 3298268160.

The previous prime is 13075289107. The next prime is 13075289137. The reversal of 13075289136 is 63198257031.

13075289136 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 528 + 91 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13075289091 and 13075289100.

It is not an unprimeable number, because it can be changed into a prime (13075289137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 896946 + ... + 911406.

It is an arithmetic number, because the mean of its divisors is an integer number (150636192).

Almost surely, 2^13075289136 is an apocalyptic number.

13075289136 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 13075289136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24101790720).

13075289136 is an abundant number, since it is smaller than the sum of its proper divisors (35128292304).

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

13075289136 is a wasteful number, since it uses less digits than its factorization.

13075289136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14521 (or 14509 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13075289136 in words is "thirteen billion, seventy-five million, two hundred eighty-nine thousand, one hundred thirty-six".