135802784801 has 2 divisors, whose sum is σ = 135802784802. Its totient is φ = 135802784800.

The previous prime is 135802784759. The next prime is 135802784807. The reversal of 135802784801 is 108487208531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97131955600 + 38670829201 = 311660^2 + 196649^2 .

It is a cyclic number.

It is not a de Polignac number, because 135802784801 - 2⁶ = 135802784737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (135802784807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67901392400 + 67901392401.

It is an arithmetic number, because the mean of its divisors is an integer number (67901392401).

Almost surely, 2^135802784801 is an apocalyptic number.

It is an amenable number.

135802784801 is a deficient number, since it is larger than the sum of its proper divisors (1).

135802784801 is an equidigital number, since it uses as much as digits as its factorization.

135802784801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 135802784801 in words is "one hundred thirty-five billion, eight hundred two million, seven hundred eighty-four thousand, eight hundred one".