137361181 has 2 divisors, whose sum is σ = 137361182. Its totient is φ = 137361180.

The previous prime is 137361179. The next prime is 137361233. The reversal of 137361181 is 181163731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136095556 + 1265625 = 11666^2 + 1125^2 .

It is a cyclic number.

It is not a de Polignac number, because 137361181 - 2¹ = 137361179 is a prime.

It is a super-2 number, since 2×137361181² = 37736188091429522, which contains 22 as substring.

Together with 137361179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137361151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68680590 + 68680591.

It is an arithmetic number, because the mean of its divisors is an integer number (68680591).

Almost surely, 2^137361181 is an apocalyptic number.

It is an amenable number.

137361181 is a deficient number, since it is larger than the sum of its proper divisors (1).

137361181 is an equidigital number, since it uses as much as digits as its factorization.

137361181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 31.

The square root of 137361181 is about 11720.1186427442. The cubic root of 137361181 is about 515.9663021581.

The spelling of 137361181 in words is "one hundred thirty-seven million, three hundred sixty-one thousand, one hundred eighty-one".