180137 has 2 divisors, whose sum is σ = 180138. Its totient is φ = 180136.

The previous prime is 180097. The next prime is 180161. The reversal of 180137 is 731081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179776 + 361 = 424^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 180137 - 2⁶ = 180073 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (180337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90068 + 90069.

It is an arithmetic number, because the mean of its divisors is an integer number (90069).

2¹⁸⁰¹³⁷ is an apocalyptic number.

It is an amenable number.

180137 is a deficient number, since it is larger than the sum of its proper divisors (1).

180137 is an equidigital number, since it uses as much as digits as its factorization.

180137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 180137 is about 424.4254940505. The cubic root of 180137 is about 56.4764827597.

The spelling of 180137 in words is "one hundred eighty thousand, one hundred thirty-seven".