133033032 has 48 divisors (see below), whose sum is σ = 393054480. Its totient is φ = 40312800.

The previous prime is 133033031. The next prime is 133033037. The reversal of 133033032 is 230330331.

133033032 is a `hidden beast` number, since 1 + 330 + 330 + 3 + 2 = 666.

It is a super-2 number, since 2×133033032² = 35395575206226048, which contains 22 as substring.

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 = 133032996 and 133033014.

It is not an unprimeable number, because it can be changed into a prime (133033031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83194 + ... + 84777.

It is an arithmetic number, because the mean of its divisors is an integer number (8188635).

Almost surely, 2^133033032 is an apocalyptic number.

133033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133033032 is an abundant number, since it is smaller than the sum of its proper divisors (260021448).

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

133033032 is a wasteful number, since it uses less digits than its factorization.

133033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167994 (or 167987 counting only the distinct ones).

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

The square root of 133033032 is about 11533.9946245869. The cubic root of 133033032 is about 510.4891270508.

Adding to 133033032 its reverse (230330331), we get a palindrome (363363363).

It can be divided in two parts, 1 and 33033032, that added together give a palindrome (33033033).

The spelling of 133033032 in words is "one hundred thirty-three million, thirty-three thousand, thirty-two".