133752 has 16 divisors (see below), whose sum is σ = 334440. Its totient is φ = 44576.

The previous prime is 133733. The next prime is 133769. The reversal of 133752 is 257331.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133752.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 2763 + ... + 2810.

2¹³³⁷⁵² is an apocalyptic number.

133752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133752 is an abundant number, since it is smaller than the sum of its proper divisors (200688).

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

133752 is a wasteful number, since it uses less digits than its factorization.

133752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5578 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 133752 is about 365.7212052917. The cubic root of 133752 is about 51.1407109929.

The spelling of 133752 in words is "one hundred thirty-three thousand, seven hundred fifty-two".