180138193 has 2 divisors, whose sum is σ = 180138194. Its totient is φ = 180138192.

The previous prime is 180138187. The next prime is 180138199. The reversal of 180138193 is 391831081.

It is a happy number.

180138193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (180138187) and next prime (180138199).

It can be written as a sum of positive squares in only one way, i.e., 149035264 + 31102929 = 12208^2 + 5577^2 .

It is an emirp because it is prime and its reverse (391831081) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 180138193 - 2⁹ = 180137681 is a prime.

It is not a weakly prime, because it can be changed into another prime (180138199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90069096 + 90069097.

It is an arithmetic number, because the mean of its divisors is an integer number (90069097).

Almost surely, 2^180138193 is an apocalyptic number.

It is an amenable number.

180138193 is a deficient number, since it is larger than the sum of its proper divisors (1).

180138193 is an equidigital number, since it uses as much as digits as its factorization.

180138193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 180138193 is about 13421.5570259192. The cubic root of 180138193 is about 564.7660743575.

The spelling of 180138193 in words is "one hundred eighty million, one hundred thirty-eight thousand, one hundred ninety-three".