135705610506666 has 16 divisors (see below), whose sum is σ = 274681235725344. Its totient is φ = 44690201050224.

The previous prime is 135705610506637. The next prime is 135705610506769. The reversal of 135705610506666 is 666605016507531.

It is a super-3 number, since 3×135705610506666³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136250612461 + ... + 136250613456.

It is an arithmetic number, because the mean of its divisors is an integer number (17167577232834).

Almost surely, 2^{135705610506666} is an apocalyptic number.

135705610506666 is an abundant number, since it is smaller than the sum of its proper divisors (138975625218678).

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

135705610506666 is a wasteful number, since it uses less digits than its factorization.

135705610506666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272501226005.

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 135705610506666 in words is "one hundred thirty-five trillion, seven hundred five billion, six hundred ten million, five hundred six thousand, six hundred sixty-six".