180381137 has 2 divisors, whose sum is σ = 180381138. Its totient is φ = 180381136.

The previous prime is 180381121. The next prime is 180381139. The reversal of 180381137 is 731183081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158860816 + 21520321 = 12604^2 + 4639^2 .

It is a cyclic number.

It is not a de Polignac number, because 180381137 - 2⁴ = 180381121 is a prime.

Together with 180381139, 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 (180381139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90190568 + 90190569.

It is an arithmetic number, because the mean of its divisors is an integer number (90190569).

Almost surely, 2^180381137 is an apocalyptic number.

It is an amenable number.

180381137 is a deficient number, since it is larger than the sum of its proper divisors (1).

180381137 is an equidigital number, since it uses as much as digits as its factorization.

180381137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 180381137 is about 13430.6044912357. The cubic root of 180381137 is about 565.0198515488.

The spelling of 180381137 in words is "one hundred eighty million, three hundred eighty-one thousand, one hundred thirty-seven".