133185006675 has 192 divisors, whose sum is σ = 287976330240. Its totient is φ = 59073960960.

The previous prime is 133185006671. The next prime is 133185006727. The reversal of 133185006675 is 576600581331.

133185006675 is a `hidden beast` number, since 1 + 3 + 3 + 18 + 500 + 66 + 75 = 666.

It is not a de Polignac number, because 133185006675 - 2² = 133185006671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 133185006675.

It is not an unprimeable number, because it can be changed into a prime (133185006671) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 79894192 + ... + 79895858.

It is an arithmetic number, because the mean of its divisors is an integer number (1499876720).

Almost surely, 2^133185006675 is an apocalyptic number.

133185006675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133185006675 is an abundant number, since it is smaller than the sum of its proper divisors (154791323565).

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

133185006675 is a wasteful number, since it uses less digits than its factorization.

133185006675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 133185006675 in words is "one hundred thirty-three billion, one hundred eighty-five million, six thousand, six hundred seventy-five".