137339113 has 2 divisors, whose sum is σ = 137339114. Its totient is φ = 137339112.

The previous prime is 137339071. The next prime is 137339131. The reversal of 137339113 is 311933731.

Together with next prime (137339131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135769104 + 1570009 = 11652^2 + 1253^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137339113 is a prime.

It is not a weakly prime, because it can be changed into another prime (137339143) 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, 68669556 + 68669557.

It is an arithmetic number, because the mean of its divisors is an integer number (68669557).

Almost surely, 2^137339113 is an apocalyptic number.

It is an amenable number.

137339113 is a deficient number, since it is larger than the sum of its proper divisors (1).

137339113 is an equidigital number, since it uses as much as digits as its factorization.

137339113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5103, while the sum is 31.

The square root of 137339113 is about 11719.1771468819. The cubic root of 137339113 is about 515.9386695230.

The spelling of 137339113 in words is "one hundred thirty-seven million, three hundred thirty-nine thousand, one hundred thirteen".