137306311 has 2 divisors, whose sum is σ = 137306312. Its totient is φ = 137306310.

The previous prime is 137306237. The next prime is 137306321. The reversal of 137306311 is 113603731.

It is a strong prime.

It is an emirp because it is prime and its reverse (113603731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137306311 - 2¹¹ = 137304263 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137306321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68653155 + 68653156.

It is an arithmetic number, because the mean of its divisors is an integer number (68653156).

Almost surely, 2^137306311 is an apocalyptic number.

137306311 is a deficient number, since it is larger than the sum of its proper divisors (1).

137306311 is an equidigital number, since it uses as much as digits as its factorization.

137306311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 137306311 is about 11717.7775623196. Note that the first 3 decimals coincide. The cubic root of 137306311 is about 515.8975907475.

The spelling of 137306311 in words is "one hundred thirty-seven million, three hundred six thousand, three hundred eleven".