135540040241 has 2 divisors, whose sum is σ = 135540040242. Its totient is φ = 135540040240.

The previous prime is 135540040177. The next prime is 135540040261. The reversal of 135540040241 is 142040045531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134893863841 + 646176400 = 367279^2 + 25420^2 .

It is an emirp because it is prime and its reverse (142040045531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135540040241 - 2⁶ = 135540040177 is a prime.

It is a super-2 number, since 2×135540040241² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135540040261) 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, 67770020120 + 67770020121.

It is an arithmetic number, because the mean of its divisors is an integer number (67770020121).

Almost surely, 2^135540040241 is an apocalyptic number.

It is an amenable number.

135540040241 is a deficient number, since it is larger than the sum of its proper divisors (1).

135540040241 is an equidigital number, since it uses as much as digits as its factorization.

135540040241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 135540040241 its reverse (142040045531), we get a palindrome (277580085772).

The spelling of 135540040241 in words is "one hundred thirty-five billion, five hundred forty million, forty thousand, two hundred forty-one".