133152032 has 48 divisors (see below), whose sum is σ = 283453632. Its totient is φ = 61205760.

The previous prime is 133152031. The next prime is 133152101. The reversal of 133152032 is 230251331.

133152032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133151995 and 133152013.

It is not an unprimeable number, because it can be changed into a prime (133152031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137213 + ... + 138179.

It is an arithmetic number, because the mean of its divisors is an integer number (5905284).

Almost surely, 2^133152032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141726816).

133152032 is an abundant number, since it is smaller than the sum of its proper divisors (150301600).

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

133152032 is a wasteful number, since it uses less digits than its factorization.

133152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 133152032 is about 11539.1521352307. The cubic root of 133152032 is about 510.6412950269.

The spelling of 133152032 in words is "one hundred thirty-three million, one hundred fifty-two thousand, thirty-two".