135065343603641 has 6 divisors (see below), whose sum is σ = 148460253713226. Its totient is φ = 122786676003200.

The previous prime is 135065343603577. The next prime is 135065343603653. The reversal of 135065343603641 is 146306343560531.

It can be written as a sum of positive squares in only one way, i.e., 83360917248400 + 51704426355241 = 9130220^2 + 7190579^2 .

It is not a de Polignac number, because 135065343603641 - 2⁶ = 135065343603577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135065343603641.

It is not an unprimeable number, because it can be changed into a prime (135065343603241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 558121254440 + ... + 558121254681.

It is an arithmetic number, because the mean of its divisors is an integer number (24743375618871).

Almost surely, 2^{135065343603641} is an apocalyptic number.

135065343603641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135065343603641 is a deficient number, since it is larger than the sum of its proper divisors (13394910109585).

135065343603641 is a wasteful number, since it uses less digits than its factorization.

135065343603641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116242509143 (or 1116242509132 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 50.

The spelling of 135065343603641 in words is "one hundred thirty-five trillion, sixty-five billion, three hundred forty-three million, six hundred three thousand, six hundred forty-one".