135737113 has 2 divisors, whose sum is σ = 135737114. Its totient is φ = 135737112.

The previous prime is 135737087. The next prime is 135737117. The reversal of 135737113 is 311737531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118984464 + 16752649 = 10908^2 + 4093^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135737113 is a prime.

It is not a weakly prime, because it can be changed into another prime (135737117) 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, 67868556 + 67868557.

It is an arithmetic number, because the mean of its divisors is an integer number (67868557).

Almost surely, 2^135737113 is an apocalyptic number.

It is an amenable number.

135737113 is a deficient number, since it is larger than the sum of its proper divisors (1).

135737113 is an equidigital number, since it uses as much as digits as its factorization.

135737113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6615, while the sum is 31.

The square root of 135737113 is about 11650.6271505014. The cubic root of 135737113 is about 513.9247531750.

The spelling of 135737113 in words is "one hundred thirty-five million, seven hundred thirty-seven thousand, one hundred thirteen".