135968033 has 2 divisors, whose sum is σ = 135968034. Its totient is φ = 135968032.

The previous prime is 135967999. The next prime is 135968051. The reversal of 135968033 is 330869531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91718929 + 44249104 = 9577^2 + 6652^2 .

It is an emirp because it is prime and its reverse (330869531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135968033 - 2¹⁰ = 135967009 is a prime.

It is not a weakly prime, because it can be changed into another prime (135968083) 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, 67984016 + 67984017.

It is an arithmetic number, because the mean of its divisors is an integer number (67984017).

Almost surely, 2^135968033 is an apocalyptic number.

It is an amenable number.

135968033 is a deficient number, since it is larger than the sum of its proper divisors (1).

135968033 is an equidigital number, since it uses as much as digits as its factorization.

135968033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 135968033 is about 11660.5331353245. The cubic root of 135968033 is about 514.2160227397.

The spelling of 135968033 in words is "one hundred thirty-five million, nine hundred sixty-eight thousand, thirty-three".