133088096 has 36 divisors (see below), whose sum is σ = 268975476. Its totient is φ = 64787520.

The previous prime is 133088089. The next prime is 133088099. The reversal of 133088096 is 690880331.

133088096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133088099) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427781 + ... + 428091.

It is an arithmetic number, because the mean of its divisors is an integer number (7471541).

Almost surely, 2^133088096 is an apocalyptic number.

133088096 is a gapful number since it is divisible by the number (16) 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 133088096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134487738).

133088096 is an abundant number, since it is smaller than the sum of its proper divisors (135887380).

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

133088096 is an frugal number, since it uses more digits than its factorization.

133088096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 133088096 is about 11536.3814083967. The cubic root of 133088096 is about 510.5595499010.

The spelling of 133088096 in words is "one hundred thirty-three million, eighty-eight thousand, ninety-six".