133166061635346 has 48 divisors (see below), whose sum is σ = 288616106163840. Its totient is φ = 44374897738080.

The previous prime is 133166061635291. The next prime is 133166061635413. The reversal of 133166061635346 is 643536160661331.

133166061635346 is a `hidden beast` number, since 1 + 3 + 3 + 16 + 6 + 0 + 616 + 3 + 5 + 3 + 4 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133166061635292 and 133166061635301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035554225 + ... + 2035619643.

It is an arithmetic number, because the mean of its divisors is an integer number (6012835545080).

Almost surely, 2^{133166061635346} is an apocalyptic number.

133166061635346 is an abundant number, since it is smaller than the sum of its proper divisors (155450044528494).

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

133166061635346 is a wasteful number, since it uses less digits than its factorization.

133166061635346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98831 (or 98828 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 133166061635346 in words is "one hundred thirty-three trillion, one hundred sixty-six billion, sixty-one million, six hundred thirty-five thousand, three hundred forty-six".