133456896 has 110 divisors (see below), whose sum is σ = 398776070. Its totient is φ = 44457984.

The previous prime is 133456889. The next prime is 133456901. The reversal of 133456896 is 698654331.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 746496 = 11520^2 + 864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82140 + ... + 83748.

It is an arithmetic number, because the mean of its divisors is an integer number (3625237).

Almost surely, 2^133456896 is an apocalyptic number.

133456896 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 133456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199388035).

133456896 is an abundant number, since it is smaller than the sum of its proper divisors (265319174).

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

133456896 is an equidigital number, since it uses as much as digits as its factorization.

133456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1614 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 133456896 is about 11552.3545651958. The cubic root of 133456896 is about 511.0307182665.

The spelling of 133456896 in words is "one hundred thirty-three million, four hundred fifty-six thousand, eight hundred ninety-six".