135684333505666 has 24 divisors (see below), whose sum is σ = 223882636223232. Its totient is φ = 61627364059800.

The previous prime is 135684333505657. The next prime is 135684333505681. The reversal of 135684333505666 is 666505333486531.

It is a super-3 number, since 3×135684333505666³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135684333505598 and 135684333505607.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214833970 + ... + 215464621.

It is an arithmetic number, because the mean of its divisors is an integer number (9328443175968).

Almost surely, 2^{135684333505666} is an apocalyptic number.

135684333505666 is a deficient number, since it is larger than the sum of its proper divisors (88198302717566).

135684333505666 is a wasteful number, since it uses less digits than its factorization.

135684333505666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430299918 (or 430299907 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 64.

The spelling of 135684333505666 in words is "one hundred thirty-five trillion, six hundred eighty-four billion, three hundred thirty-three million, five hundred five thousand, six hundred sixty-six".