137106971 has 2 divisors, whose sum is σ = 137106972. Its totient is φ = 137106970.

The previous prime is 137106947. The next prime is 137107039. The reversal of 137106971 is 179601731.

It is a weak prime.

It is an emirp because it is prime and its reverse (179601731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137106971 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (133106971) 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, 68553485 + 68553486.

It is an arithmetic number, because the mean of its divisors is an integer number (68553486).

Almost surely, 2^137106971 is an apocalyptic number.

137106971 is a deficient number, since it is larger than the sum of its proper divisors (1).

137106971 is an equidigital number, since it uses as much as digits as its factorization.

137106971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 35.

The square root of 137106971 is about 11709.2685937252. The cubic root of 137106971 is about 515.6478114230.

The spelling of 137106971 in words is "one hundred thirty-seven million, one hundred six thousand, nine hundred seventy-one".