182164146121 has 2 divisors, whose sum is σ = 182164146122. Its totient is φ = 182164146120.

The previous prime is 182164146089. The next prime is 182164146161. The reversal of 182164146121 is 121641461281.

182164146121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115491225600 + 66672920521 = 339840^2 + 258211^2 .

It is a cyclic number.

It is not a de Polignac number, because 182164146121 - 2⁵ = 182164146089 is a prime.

It is a super-2 number, since 2×182164146121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (182164146161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91082073060 + 91082073061.

It is an arithmetic number, because the mean of its divisors is an integer number (91082073061).

Almost surely, 2^182164146121 is an apocalyptic number.

It is an amenable number.

182164146121 is a deficient number, since it is larger than the sum of its proper divisors (1).

182164146121 is an equidigital number, since it uses as much as digits as its factorization.

182164146121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 37.

The spelling of 182164146121 in words is "one hundred eighty-two billion, one hundred sixty-four million, one hundred forty-six thousand, one hundred twenty-one".