133106208768 has 520 divisors, whose sum is σ = 433361302528. Its totient is φ = 40633270272.

The previous prime is 133106208707. The next prime is 133106208821. The reversal of 133106208768 is 867802601331.

133106208768 is a `hidden beast` number, since 1 + 3 + 3 + 10 + 620 + 8 + 7 + 6 + 8 = 666.

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, 1048080321 + ... + 1048080447.

Almost surely, 2^133106208768 is an apocalyptic number.

133106208768 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 133106208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216680651264).

133106208768 is an abundant number, since it is smaller than the sum of its proper divisors (300255093760).

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

133106208768 is an frugal number, since it uses more digits than its factorization.

133106208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 133106208768 in words is "one hundred thirty-three billion, one hundred six million, two hundred eight thousand, seven hundred sixty-eight".