137768417 has 2 divisors, whose sum is σ = 137768418. Its totient is φ = 137768416.

The previous prime is 137768383. The next prime is 137768437. The reversal of 137768417 is 714867731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108076816 + 29691601 = 10396^2 + 5449^2 .

It is a cyclic number.

It is not a de Polignac number, because 137768417 - 2⁸ = 137768161 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137768437) 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, 68884208 + 68884209.

It is an arithmetic number, because the mean of its divisors is an integer number (68884209).

Almost surely, 2^137768417 is an apocalyptic number.

It is an amenable number.

137768417 is a deficient number, since it is larger than the sum of its proper divisors (1).

137768417 is an equidigital number, since it uses as much as digits as its factorization.

137768417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 197568, while the sum is 44.

The square root of 137768417 is about 11737.4791586609. The cubic root of 137768417 is about 516.4756958226.

The spelling of 137768417 in words is "one hundred thirty-seven million, seven hundred sixty-eight thousand, four hundred seventeen".