12131675136 has 264 divisors, whose sum is σ = 40220504064. Its totient is φ = 3450101760.

The previous prime is 12131675113. The next prime is 12131675147. The reversal of 12131675136 is 63157613121.

12131675136 is a `hidden beast` number, since 1 + 2 + 131 + 6 + 7 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12131675136.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24707851 + ... + 24708341.

Almost surely, 2^12131675136 is an apocalyptic number.

12131675136 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 12131675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110252032).

12131675136 is an abundant number, since it is smaller than the sum of its proper divisors (28088828928).

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

12131675136 is a wasteful number, since it uses less digits than its factorization.

12131675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 886 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 12131675136 in words is "twelve billion, one hundred thirty-one million, six hundred seventy-five thousand, one hundred thirty-six".