168129009 has 12 divisors (see below), whose sum is σ = 242997300. Its totient is φ = 112019424.

The previous prime is 168129007. The next prime is 168129029. The reversal of 168129009 is 900921861.

It can be written as a sum of positive squares in 2 ways, for example, as 114062400 + 54066609 = 10680^2 + 7353^2 .

It is not a de Polignac number, because 168129009 - 2¹ = 168129007 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (168129007) 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 11 ways as a sum of consecutive naturals, for example, 14107 + ... + 23135.

It is an arithmetic number, because the mean of its divisors is an integer number (20249775).

Almost surely, 2^168129009 is an apocalyptic number.

It is an amenable number.

168129009 is a deficient number, since it is larger than the sum of its proper divisors (74868291).

168129009 is a wasteful number, since it uses less digits than its factorization.

168129009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11104 (or 11101 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 168129009 is about 12966.4570719993. The cubic root of 168129009 is about 551.9260396339.

The spelling of 168129009 in words is "one hundred sixty-eight million, one hundred twenty-nine thousand, nine".