135305335949677 has 2 divisors, whose sum is σ = 135305335949678. Its totient is φ = 135305335949676.

The previous prime is 135305335949629. The next prime is 135305335949711. The reversal of 135305335949677 is 776949533503531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132806932107721 + 2498403841956 = 11524189^2 + 1580634^2 .

It is a cyclic number.

It is not a de Polignac number, because 135305335949677 - 2⁴³ = 126509242927469 is a prime.

It is a super-3 number, since 3×135305335949677³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135305335949177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67652667974838 + 67652667974839.

It is an arithmetic number, because the mean of its divisors is an integer number (67652667974839).

Almost surely, 2^{135305335949677} is an apocalyptic number.

It is an amenable number.

135305335949677 is a deficient number, since it is larger than the sum of its proper divisors (1).

135305335949677 is an equidigital number, since it uses as much as digits as its factorization.

135305335949677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 964467000, while the sum is 70.

The spelling of 135305335949677 in words is "one hundred thirty-five trillion, three hundred five billion, three hundred thirty-five million, nine hundred forty-nine thousand, six hundred seventy-seven".