133346020320 has 288 divisors, whose sum is σ = 466279317504. Its totient is φ = 34683264000.

The previous prime is 133346020259. The next prime is 133346020331. The reversal of 133346020320 is 23020643331.

It is a happy number.

133346020320 is a `hidden beast` number, since 1 + 3 + 3 + 34 + 602 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×133346020320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 71268985 + ... + 71270855.

It is an arithmetic number, because the mean of its divisors is an integer number (1619025408).

Almost surely, 2^133346020320 is an apocalyptic number.

133346020320 is a gapful number since it is divisible by the number (10) 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 133346020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233139658752).

133346020320 is an abundant number, since it is smaller than the sum of its proper divisors (332933297184).

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

133346020320 is a wasteful number, since it uses less digits than its factorization.

133346020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133346020320 its reverse (23020643331), we get a palindrome (156366663651).

The spelling of 133346020320 in words is "one hundred thirty-three billion, three hundred forty-six million, twenty thousand, three hundred twenty".