133048484352 has 960 divisors, whose sum is σ = 490254336000. Its totient is φ = 33880965120.

The previous prime is 133048484329. The next prime is 133048484377. The reversal of 133048484352 is 253484840331.

133048484352 is a `hidden beast` number, since 13 + 30 + 484 + 84 + 3 + 52 = 666.

133048484352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133048484298 and 133048484307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 892942774 + ... + 892942922.

It is an arithmetic number, because the mean of its divisors is an integer number (510681600).

Almost surely, 2^133048484352 is an apocalyptic number.

133048484352 is a gapful number since it is divisible by the number (12) 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 133048484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245127168000).

133048484352 is an abundant number, since it is smaller than the sum of its proper divisors (357205851648).

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

133048484352 is a wasteful number, since it uses less digits than its factorization.

133048484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 133048484352 in words is "one hundred thirty-three billion, forty-eight million, four hundred eighty-four thousand, three hundred fifty-two".