133204896 has 144 divisors (see below), whose sum is σ = 435183840. Its totient is φ = 38223360.

The previous prime is 133204889. The next prime is 133204919. The reversal of 133204896 is 698402331.

133204896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133204896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59086 + ... + 61298.

It is an arithmetic number, because the mean of its divisors is an integer number (3022110).

Almost surely, 2^133204896 is an apocalyptic number.

133204896 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 133204896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217591920).

133204896 is an abundant number, since it is smaller than the sum of its proper divisors (301978944).

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

133204896 is a wasteful number, since it uses less digits than its factorization.

133204896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 133204896 is about 11541.4425441537. The cubic root of 133204896 is about 510.7088643293.

The spelling of 133204896 in words is "one hundred thirty-three million, two hundred four thousand, eight hundred ninety-six".