133484092099008 has 224 divisors, whose sum is σ = 418223390323200. Its totient is φ = 36763702972416.

The previous prime is 133484092098997. The next prime is 133484092099049. The reversal of 133484092099008 is 800990290484331.

133484092099008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21359766 + ... + 26892522.

It is an arithmetic number, because the mean of its divisors is an integer number (1867068706800).

Almost surely, 2^{133484092099008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133484092099008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209111695161600).

133484092099008 is an abundant number, since it is smaller than the sum of its proper divisors (284739298224192).

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

133484092099008 is a wasteful number, since it uses less digits than its factorization.

133484092099008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533427 (or 5533417 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 133484092099008 in words is "one hundred thirty-three trillion, four hundred eighty-four billion, ninety-two million, ninety-nine thousand, eight".