137355307 has 2 divisors, whose sum is σ = 137355308. Its totient is φ = 137355306.

The previous prime is 137355301. The next prime is 137355311. The reversal of 137355307 is 703553731.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (703553731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137355307 - 2¹¹ = 137353259 is a prime.

It is a super-2 number, since 2×137355307² = 37732960722128498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137355301) 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, 68677653 + 68677654.

It is an arithmetic number, because the mean of its divisors is an integer number (68677654).

Almost surely, 2^137355307 is an apocalyptic number.

137355307 is a deficient number, since it is larger than the sum of its proper divisors (1).

137355307 is an equidigital number, since it uses as much as digits as its factorization.

137355307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33075, while the sum is 34.

The square root of 137355307 is about 11719.8680453323. The cubic root of 137355307 is about 515.9589472678.

The spelling of 137355307 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, three hundred seven".