8136327200 has 36 divisors (see below), whose sum is σ = 19862810730. Its totient is φ = 3254530560.

The previous prime is 8136327191. The next prime is 8136327229. The reversal of 8136327200 is 27236318.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4961230096 + 3175097104 = 70436^2 + 56348^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 5084405 + ... + 5086004.

Almost surely, 2^8136327200 is an apocalyptic number.

8136327200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8136327200 is an abundant number, since it is smaller than the sum of its proper divisors (11726483530).

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

8136327200 is a wasteful number, since it uses less digits than its factorization.

8136327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170429 (or 10170416 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 8136327200 is about 90201.5920036892. The cubic root of 8136327200 is about 2011.2966724604.

The spelling of 8136327200 in words is "eight billion, one hundred thirty-six million, three hundred twenty-seven thousand, two hundred".