133822407168 has 270 divisors, whose sum is σ = 411574113951. Its totient is φ = 41851060224.

The previous prime is 133822407163. The next prime is 133822407193. The reversal of 133822407168 is 861704228331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

133822407168 is a `hidden beast` number, since 1 + 3 + 3 + 82 + 2 + 407 + 168 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 34703218944 + 99119188224 = 186288^2 + 314832^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=258672.

It is not an unprimeable number, because it can be changed into a prime (133822407161) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 422152546 + ... + 422152862.

Almost surely, 2^133822407168 is an apocalyptic number.

133822407168 is a gapful number since it is divisible by the number (18) 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 133822407168

133822407168 is an abundant number, since it is smaller than the sum of its proper divisors (277751706783).

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

133822407168 is an frugal number, since it uses more digits than its factorization.

133822407168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 133822407168 in words is "one hundred thirty-three billion, eight hundred twenty-two million, four hundred seven thousand, one hundred sixty-eight".