135105442445646 has 24 divisors (see below), whose sum is σ = 292728713552184. Its totient is φ = 45035108263440.

The previous prime is 135105442445609. The next prime is 135105442445669. The reversal of 135105442445646 is 646544244501531.

135105442445646 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 54 + 4 + 24 + 4 + 564 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135105442445592 and 135105442445601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24227736 + ... + 29277876.

It is an arithmetic number, because the mean of its divisors is an integer number (12197029731341).

Almost surely, 2^{135105442445646} is an apocalyptic number.

135105442445646 is an abundant number, since it is smaller than the sum of its proper divisors (157623271106538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135105442445646 is a wasteful number, since it uses less digits than its factorization.

135105442445646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536416 (or 6536413 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 135105442445646 in words is "one hundred thirty-five trillion, one hundred five billion, four hundred forty-two million, four hundred forty-five thousand, six hundred forty-six".