137177189 has 2 divisors, whose sum is σ = 137177190. Its totient is φ = 137177188.

The previous prime is 137177179. The next prime is 137177191. The reversal of 137177189 is 981771731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107474689 + 29702500 = 10367^2 + 5450^2 .

It is an emirp because it is prime and its reverse (981771731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137177189 - 2¹² = 137173093 is a prime.

Together with 137177191, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_7761599 and since 137177189 and 7761599 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137177179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68588594 + 68588595.

It is an arithmetic number, because the mean of its divisors is an integer number (68588595).

Almost surely, 2^137177189 is an apocalyptic number.

It is an amenable number.

137177189 is a deficient number, since it is larger than the sum of its proper divisors (1).

137177189 is an equidigital number, since it uses as much as digits as its factorization.

137177189 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 74088, while the sum is 44.

The square root of 137177189 is about 11712.2666038645. The cubic root of 137177189 is about 515.7358244014.

The spelling of 137177189 in words is "one hundred thirty-seven million, one hundred seventy-seven thousand, one hundred eighty-nine".