8138166309 has 40 divisors (see below), whose sum is σ = 14962492160. Its totient is φ = 4292655264.

The previous prime is 8138166307. The next prime is 8138166329. The reversal of 8138166309 is 9036618318.

It is a happy number.

8138166309 is a `hidden beast` number, since 8 + 1 + 3 + 8 + 1 + 6 + 630 + 9 = 666.

It is not a de Polignac number, because 8138166309 - 2¹ = 8138166307 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138166307) 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 39 ways as a sum of consecutive naturals, for example, 544669 + ... + 559410.

It is an arithmetic number, because the mean of its divisors is an integer number (374062304).

Almost surely, 2^8138166309 is an apocalyptic number.

It is an amenable number.

8138166309 is a deficient number, since it is larger than the sum of its proper divisors (6824325851).

8138166309 is a wasteful number, since it uses less digits than its factorization.

8138166309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104111 (or 1104102 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8138166309 is about 90211.7858652626. The cubic root of 8138166309 is about 2011.4482033684.

The spelling of 8138166309 in words is "eight billion, one hundred thirty-eight million, one hundred sixty-six thousand, three hundred nine".