8007133136 has 20 divisors (see below), whose sum is σ = 15612639492. Its totient is φ = 3978064896.

The previous prime is 8007133117. The next prime is 8007133151. The reversal of 8007133136 is 6313317008.

It can be written as a sum of positive squares in 2 ways, for example, as 5813147536 + 2193985600 = 76244^2 + 46840^2 .

It is a super-2 number, since 2×8007133136² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1591265 + ... + 1596288.

Almost surely, 2^8007133136 is an apocalyptic number.

It is an amenable number.

8007133136 is a deficient number, since it is larger than the sum of its proper divisors (7605506356).

8007133136 is a wasteful number, since it uses less digits than its factorization.

8007133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187718 (or 3187712 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 8007133136 is about 89482.5856577692. The cubic root of 8007133136 is about 2000.5942514151.

The spelling of 8007133136 in words is "eight billion, seven million, one hundred thirty-three thousand, one hundred thirty-six".