133303032 has 96 divisors (see below), whose sum is σ = 380933280. Its totient is φ = 42028800.

The previous prime is 133303021. The next prime is 133303033. The reversal of 133303032 is 230303331.

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 = 133302996 and 133303014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166858 + ... + 167654.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^133303032 is an apocalyptic number.

133303032 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 133303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

133303032 is an abundant number, since it is smaller than the sum of its proper divisors (247630248).

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

133303032 is a wasteful number, since it uses less digits than its factorization.

133303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133303032 is about 11545.6932230161. The cubic root of 133303032 is about 510.8342516677.

Adding to 133303032 its reverse (230303331), we get a palindrome (363606363).

The spelling of 133303032 in words is "one hundred thirty-three million, three hundred three thousand, thirty-two".