8935736137 has 2 divisors, whose sum is σ = 8935736138. Its totient is φ = 8935736136.

The previous prime is 8935736111. The next prime is 8935736177. The reversal of 8935736137 is 7316375398.

8935736137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5484291136 + 3451445001 = 74056^2 + 58749^2 .

It is a cyclic number.

It is not a de Polignac number, because 8935736137 - 2⁷ = 8935736009 is a prime.

It is not a weakly prime, because it can be changed into another prime (8935736107) 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, 4467868068 + 4467868069.

It is an arithmetic number, because the mean of its divisors is an integer number (4467868069).

Almost surely, 2^8935736137 is an apocalyptic number.

It is an amenable number.

8935736137 is a deficient number, since it is larger than the sum of its proper divisors (1).

8935736137 is an equidigital number, since it uses as much as digits as its factorization.

8935736137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2857680, while the sum is 52.

The square root of 8935736137 is about 94529.0227231827. The cubic root of 8935736137 is about 2075.1210951344.

The spelling of 8935736137 in words is "eight billion, nine hundred thirty-five million, seven hundred thirty-six thousand, one hundred thirty-seven".