133330039128 has 384 divisors, whose sum is σ = 432579813120. Its totient is φ = 36566830080.

The previous prime is 133330039081. The next prime is 133330039133. The reversal of 133330039128 is 821930033331.

133330039128 is a `hidden beast` number, since 1 + 333 + 300 + 3 + 9 + 12 + 8 = 666.

It is a super-2 number, since 2×133330039128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133330039092 and 133330039101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239371426 + ... + 239371982.

It is an arithmetic number, because the mean of its divisors is an integer number (1126509930).

Almost surely, 2^133330039128 is an apocalyptic number.

133330039128 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 133330039128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216289906560).

133330039128 is an abundant number, since it is smaller than the sum of its proper divisors (299249773992).

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

133330039128 is a wasteful number, since it uses less digits than its factorization.

133330039128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 133330039128 in words is "one hundred thirty-three billion, three hundred thirty million, thirty-nine thousand, one hundred twenty-eight".