133312032 has 144 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 37610496.

The previous prime is 133311991. The next prime is 133312051. The reversal of 133312032 is 230213331.

133312032 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 Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133311996 and 133312014.

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, 179053 + ... + 179795.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^133312032 is an apocalyptic number.

133312032 is a gapful number since it is divisible by the number (12) 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 133312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

133312032 is an abundant number, since it is smaller than the sum of its proper divisors (305409888).

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

133312032 is a wasteful number, since it uses less digits than its factorization.

133312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133312032 is about 11546.0829721599. The cubic root of 133312032 is about 510.8457477924.

Adding to 133312032 its reverse (230213331), we get a palindrome (363525363).

The spelling of 133312032 in words is "one hundred thirty-three million, three hundred twelve thousand, thirty-two".