180002129 has 2 divisors, whose sum is σ = 180002130. Its totient is φ = 180002128.

The previous prime is 180002093. The next prime is 180002131. The reversal of 180002129 is 921200081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140375104 + 39627025 = 11848^2 + 6295^2 .

It is an emirp because it is prime and its reverse (921200081) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 180002129 - 2²⁴ = 163224913 is a prime.

Together with 180002131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (180002149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90001064 + 90001065.

It is an arithmetic number, because the mean of its divisors is an integer number (90001065).

Almost surely, 2^180002129 is an apocalyptic number.

It is an amenable number.

180002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

180002129 is an equidigital number, since it uses as much as digits as its factorization.

180002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 180002129 is about 13416.4872079095. The cubic root of 180002129 is about 564.6238433928.

The spelling of 180002129 in words is "one hundred eighty million, two thousand, one hundred twenty-nine".