137680097 has 2 divisors, whose sum is σ = 137680098. Its totient is φ = 137680096.

The previous prime is 137680087. The next prime is 137680133. The reversal of 137680097 is 790086731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136515856 + 1164241 = 11684^2 + 1079^2 .

It is a cyclic number.

It is not a de Polignac number, because 137680097 - 2⁶ = 137680033 is a prime.

It is not a weakly prime, because it can be changed into another prime (137680007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68840048 + 68840049.

It is an arithmetic number, because the mean of its divisors is an integer number (68840049).

Almost surely, 2^137680097 is an apocalyptic number.

It is an amenable number.

137680097 is a deficient number, since it is larger than the sum of its proper divisors (1).

137680097 is an equidigital number, since it uses as much as digits as its factorization.

137680097 is an evil number, because the sum of its binary digits is even.

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

The square root of 137680097 is about 11733.7162484867. The cubic root of 137680097 is about 516.3653055374.

The spelling of 137680097 in words is "one hundred thirty-seven million, six hundred eighty thousand, ninety-seven".