132033312 has 36 divisors (see below), whose sum is σ = 375470550. Its totient is φ = 44011008.

The previous prime is 132033301. The next prime is 132033313. The reversal of 132033312 is 213330231.

132033312 is a `hidden beast` number, since 1 + 320 + 33 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118461456 + 13571856 = 10884^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228937 + ... + 229512.

Almost surely, 2^132033312 is an apocalyptic number.

132033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132033312 is an abundant number, since it is smaller than the sum of its proper divisors (243437238).

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

132033312 is a wasteful number, since it uses less digits than its factorization.

132033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458465 (or 458454 counting only the distinct ones).

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

The square root of 132033312 is about 11490.5749203423. The cubic root of 132033312 is about 509.2071648846.

Adding to 132033312 its reverse (213330231), we get a palindrome (345363543).

The spelling of 132033312 in words is "one hundred thirty-two million, thirty-three thousand, three hundred twelve".