133185273333102 has 160 divisors (see below), whose sum is σ = 316424403926400. Its totient is φ = 41753235281472.

The previous prime is 133185273333071. The next prime is 133185273333109. The reversal of 133185273333102 is 201333372581331.

It is a happy number.

133185273333102 is a `hidden beast` number, since 1 + 3 + 3 + 18 + 527 + 3 + 3 + 3 + 3 + 102 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133185273333109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 542562549 + ... + 542807967.

It is an arithmetic number, because the mean of its divisors is an integer number (1977652524540).

Almost surely, 2^{133185273333102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133185273333102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158212201963200).

133185273333102 is an abundant number, since it is smaller than the sum of its proper divisors (183239130593298).

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

133185273333102 is a wasteful number, since it uses less digits than its factorization.

133185273333102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246732 (or 246723 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 133185273333102 in words is "one hundred thirty-three trillion, one hundred eighty-five billion, two hundred seventy-three million, three hundred thirty-three thousand, one hundred two".