133295053633056 has 576 divisors, whose sum is σ = 449044514021376. Its totient is φ = 36702670233600.

The previous prime is 133295053633043. The next prime is 133295053633067. The reversal of 133295053633056 is 650336350592331.

133295053633056 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 9 + 50 + 536 + 3 + 3 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133295053632993 and 133295053633011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19148833416 + ... + 19148840376.

It is an arithmetic number, because the mean of its divisors is an integer number (779591170176).

Almost surely, 2^{133295053633056} is an apocalyptic number.

133295053633056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133295053633056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224522257010688).

133295053633056 is an abundant number, since it is smaller than the sum of its proper divisors (315749460388320).

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

133295053633056 is a wasteful number, since it uses less digits than its factorization.

133295053633056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8245 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 19683000, while the sum is 54.

The spelling of 133295053633056 in words is "one hundred thirty-three trillion, two hundred ninety-five billion, fifty-three million, six hundred thirty-three thousand, fifty-six".