137089297 has 2 divisors, whose sum is σ = 137089298. Its totient is φ = 137089296.

The previous prime is 137089291. The next prime is 137089301. The reversal of 137089297 is 792980731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89699841 + 47389456 = 9471^2 + 6884^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137089297 is a prime.

It is not a weakly prime, because it can be changed into another prime (137089291) 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, 68544648 + 68544649.

It is an arithmetic number, because the mean of its divisors is an integer number (68544649).

Almost surely, 2^137089297 is an apocalyptic number.

It is an amenable number.

137089297 is a deficient number, since it is larger than the sum of its proper divisors (1).

137089297 is an equidigital number, since it uses as much as digits as its factorization.

137089297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 137089297 is about 11708.5138681218. The cubic root of 137089297 is about 515.6256536606.

It can be divided in two parts, 13708 and 9297, that added together give a triangular number (23005 = T₂₁₄).

The spelling of 137089297 in words is "one hundred thirty-seven million, eighty-nine thousand, two hundred ninety-seven".