133334681472 has 256 divisors, whose sum is σ = 411675264000. Its totient is φ = 42404567040.

The previous prime is 133334681423. The next prime is 133334681479. The reversal of 133334681472 is 274186433331.

133334681472 is a `hidden beast` number, since 1 + 33 + 33 + 46 + 81 + 472 = 666.

133334681472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133334681479) 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 31 ways as a sum of consecutive naturals, for example, 34893322 + ... + 34897142.

It is an arithmetic number, because the mean of its divisors is an integer number (1608106500).

Almost surely, 2^133334681472 is an apocalyptic number.

133334681472 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 133334681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205837632000).

133334681472 is an abundant number, since it is smaller than the sum of its proper divisors (278340582528).

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

133334681472 is a wasteful number, since it uses less digits than its factorization.

133334681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4288 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 133334681472 in words is "one hundred thirty-three billion, three hundred thirty-four million, six hundred eighty-one thousand, four hundred seventy-two".