137151317 has 2 divisors, whose sum is σ = 137151318. Its totient is φ = 137151316.

The previous prime is 137151299. The next prime is 137151319. The reversal of 137151317 is 713151731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119224561 + 17926756 = 10919^2 + 4234^2 .

It is a cyclic number.

It is not a de Polignac number, because 137151317 - 2⁸ = 137151061 is a prime.

Together with 137151319, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137151317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137151319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68575658 + 68575659.

It is an arithmetic number, because the mean of its divisors is an integer number (68575659).

Almost surely, 2^137151317 is an apocalyptic number.

It is an amenable number.

137151317 is a deficient number, since it is larger than the sum of its proper divisors (1).

137151317 is an equidigital number, since it uses as much as digits as its factorization.

137151317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2205, while the sum is 29.

The square root of 137151317 is about 11711.1620687274. The cubic root of 137151317 is about 515.7033992917.

The spelling of 137151317 in words is "one hundred thirty-seven million, one hundred fifty-one thousand, three hundred seventeen".