137129189 has 2 divisors, whose sum is σ = 137129190. Its totient is φ = 137129188.

The previous prime is 137129177. The next prime is 137129207. The reversal of 137129189 is 981921731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113529025 + 23600164 = 10655^2 + 4858^2 .

It is a cyclic number.

It is not a de Polignac number, because 137129189 - 2¹⁶ = 137063653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137129119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68564594 + 68564595.

It is an arithmetic number, because the mean of its divisors is an integer number (68564595).

Almost surely, 2^137129189 is an apocalyptic number.

It is an amenable number.

137129189 is a deficient number, since it is larger than the sum of its proper divisors (1).

137129189 is an equidigital number, since it uses as much as digits as its factorization.

137129189 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 41.

The square root of 137129189 is about 11710.2172908960. The cubic root of 137129189 is about 515.6756632631.

The spelling of 137129189 in words is "one hundred thirty-seven million, one hundred twenty-nine thousand, one hundred eighty-nine".