137145689 has 2 divisors, whose sum is σ = 137145690. Its totient is φ = 137145688.

The previous prime is 137145661. The next prime is 137145721. The reversal of 137145689 is 986541731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80640400 + 56505289 = 8980^2 + 7517^2 .

It is a cyclic number.

It is not a de Polignac number, because 137145689 - 2⁸ = 137145433 is a prime.

It is a super-2 number, since 2×137145689² = 37617880022569442, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137165689) 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, 68572844 + 68572845.

It is an arithmetic number, because the mean of its divisors is an integer number (68572845).

Almost surely, 2^137145689 is an apocalyptic number.

It is an amenable number.

137145689 is a deficient number, since it is larger than the sum of its proper divisors (1).

137145689 is an equidigital number, since it uses as much as digits as its factorization.

137145689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 44.

The square root of 137145689 is about 11710.9217826779. The cubic root of 137145689 is about 515.6963452376.

The spelling of 137145689 in words is "one hundred thirty-seven million, one hundred forty-five thousand, six hundred eighty-nine".