12767645133 has 24 divisors (see below), whose sum is σ = 19549972728. Its totient is φ = 8001641472.

The previous prime is 12767645129. The next prime is 12767645159. The reversal of 12767645133 is 33154676721.

12767645133 is a `hidden beast` number, since 1 + 2 + 76 + 7 + 64 + 513 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2993950089 + 9773695044 = 54717^2 + 98862^2 .

It is not a de Polignac number, because 12767645133 - 2² = 12767645129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12767645173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82435 + ... + 179807.

It is an arithmetic number, because the mean of its divisors is an integer number (814582197).

Almost surely, 2^12767645133 is an apocalyptic number.

It is an amenable number.

12767645133 is a deficient number, since it is larger than the sum of its proper divisors (6782327595).

12767645133 is a wasteful number, since it uses less digits than its factorization.

12767645133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98253 (or 98250 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 12767645133 in words is "twelve billion, seven hundred sixty-seven million, six hundred forty-five thousand, one hundred thirty-three".