133212688128 has 720 divisors, whose sum is σ = 465364838400. Its totient is φ = 37533818880.

The previous prime is 133212688127. The next prime is 133212688181. The reversal of 133212688128 is 821886212331.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133212688127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158775133 + ... + 158775971.

Almost surely, 2^133212688128 is an apocalyptic number.

133212688128 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 133212688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232682419200).

133212688128 is an abundant number, since it is smaller than the sum of its proper divisors (332152150272).

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

133212688128 is a wasteful number, since it uses less digits than its factorization.

133212688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 907 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 133212688128 in words is "one hundred thirty-three billion, two hundred twelve million, six hundred eighty-eight thousand, one hundred twenty-eight".