133406806572 has 108 divisors (see below), whose sum is σ = 378683224920. Its totient is φ = 41048197632.

The previous prime is 133406806411. The next prime is 133406806583. The reversal of 133406806572 is 275608604331.

133406806572 is a `hidden beast` number, since 1 + 33 + 40 + 6 + 8 + 0 + 6 + 572 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 241797 + ... + 570332.

Almost surely, 2^133406806572 is an apocalyptic number.

133406806572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133406806572 is an abundant number, since it is smaller than the sum of its proper divisors (245276418348).

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

133406806572 is a wasteful number, since it uses less digits than its factorization.

133406806572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812174 (or 812147 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 133406806572 in words is "one hundred thirty-three billion, four hundred six million, eight hundred six thousand, five hundred seventy-two".