133827682222080 has 3840 divisors, whose sum is σ = 612869773824000. Its totient is φ = 27243640258560.

The previous prime is 133827682222067. The next prime is 133827682222081. The reversal of 133827682222080 is 80222286728331.

133827682222080 is a `hidden beast` number, since 1 + 3 + 382 + 76 + 82 + 22 + 20 + 80 = 666.

133827682222080 is digitally balanced in base 3, 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 (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133827682222081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1227776901066 + ... + 1227776901174.

It is an arithmetic number, because the mean of its divisors is an integer number (159601503600).

Almost surely, 2^{133827682222080} is an apocalyptic number.

133827682222080 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 133827682222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306434886912000).

133827682222080 is an abundant number, since it is smaller than the sum of its proper divisors (479042091601920).

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

133827682222080 is an frugal number, since it uses more digits than its factorization.

133827682222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 133827682222080 in words is "one hundred thirty-three trillion, eight hundred twenty-seven billion, six hundred eighty-two million, two hundred twenty-two thousand, eighty".