112777365137 has 2 divisors, whose sum is σ = 112777365138. Its totient is φ = 112777365136.

The previous prime is 112777365121. The next prime is 112777365157. The reversal of 112777365137 is 731563777211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107715896401 + 5061468736 = 328201^2 + 71144^2 .

It is a cyclic number.

It is not a de Polignac number, because 112777365137 - 2⁴ = 112777365121 is a prime.

It is not a weakly prime, because it can be changed into another prime (112777365157) 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, 56388682568 + 56388682569.

It is an arithmetic number, because the mean of its divisors is an integer number (56388682569).

Almost surely, 2^112777365137 is an apocalyptic number.

It is an amenable number.

112777365137 is a deficient number, since it is larger than the sum of its proper divisors (1).

112777365137 is an equidigital number, since it uses as much as digits as its factorization.

112777365137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296540, while the sum is 50.

The spelling of 112777365137 in words is "one hundred twelve billion, seven hundred seventy-seven million, three hundred sixty-five thousand, one hundred thirty-seven".