133532 has 24 divisors (see below), whose sum is σ = 282240. Its totient is φ = 54000.

The previous prime is 133519. The next prime is 133541. The reversal of 133532 is 235331.

It is a self number, because there is not a number n which added to its sum of digits gives 133532.

It is a congruent number.

It is an unprimeable number.

133532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2¹³³⁵³² 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 133532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

133532 is an abundant number, since it is smaller than the sum of its proper divisors (148708).

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

133532 is a wasteful number, since it uses less digits than its factorization.

133532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its digits is 270, while the sum is 17.

The square root of 133532 is about 365.4203059492. The cubic root of 133532 is about 51.1126562580.

Adding to 133532 its reverse (235331), we get a palindrome (368863).

It can be divided in two parts, 133 and 532, that multiplied together give a square (70756 = 266²).

The spelling of 133532 in words is "one hundred thirty-three thousand, five hundred thirty-two".