133866035512128 has 280 divisors, whose sum is σ = 420328680767424. Its totient is φ = 41980654080000.

The previous prime is 133866035512063. The next prime is 133866035512163. The reversal of 133866035512128 is 821215530668331.

133866035512128 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 6 + 60 + 3 + 551 + 2 + 1 + 28 = 666.

It is a super-3 number, since 3×133866035512128³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224516803 + ... + 225112253.

Almost surely, 2^{133866035512128} is an apocalyptic number.

133866035512128 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 133866035512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210164340383712).

133866035512128 is an abundant number, since it is smaller than the sum of its proper divisors (286462645255296).

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

133866035512128 is a wasteful number, since it uses less digits than its factorization.

133866035512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598043 (or 598024 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 133866035512128 in words is "one hundred thirty-three trillion, eight hundred sixty-six billion, thirty-five million, five hundred twelve thousand, one hundred twenty-eight".