135605137 has 2 divisors, whose sum is σ = 135605138. Its totient is φ = 135605136.

The previous prime is 135605123. The next prime is 135605143. The reversal of 135605137 is 731506531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86099841 + 49505296 = 9279^2 + 7036^2 .

It is a cyclic number.

It is not a de Polignac number, because 135605137 - 2¹⁹ = 135080849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135605099 and 135605108.

It is not a weakly prime, because it can be changed into another prime (135605237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67802568 + 67802569.

It is an arithmetic number, because the mean of its divisors is an integer number (67802569).

Almost surely, 2^135605137 is an apocalyptic number.

It is an amenable number.

135605137 is a deficient number, since it is larger than the sum of its proper divisors (1).

135605137 is an equidigital number, since it uses as much as digits as its factorization.

135605137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 135605137 is about 11644.9618719857. The cubic root of 135605137 is about 513.7581376594.

The spelling of 135605137 in words is "one hundred thirty-five million, six hundred five thousand, one hundred thirty-seven".