137068097 has 2 divisors, whose sum is σ = 137068098. Its totient is φ = 137068096.

The previous prime is 137068079. The next prime is 137068153. The reversal of 137068097 is 790860731.

Together with previous prime (137068079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85673536 + 51394561 = 9256^2 + 7169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137068097 is a prime.

It is equal to p_7755827 and since 137068097 and 7755827 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (137068067) 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, 68534048 + 68534049.

It is an arithmetic number, because the mean of its divisors is an integer number (68534049).

Almost surely, 2^137068097 is an apocalyptic number.

It is an amenable number.

137068097 is a deficient number, since it is larger than the sum of its proper divisors (1).

137068097 is an equidigital number, since it uses as much as digits as its factorization.

137068097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 137068097 is about 11707.6085089996. The cubic root of 137068097 is about 515.5990728659.

The spelling of 137068097 in words is "one hundred thirty-seven million, sixty-eight thousand, ninety-seven".