133452 has 36 divisors (see below), whose sum is σ = 369096. Its totient is φ = 40320.

The previous prime is 133451. The next prime is 133481. The reversal of 133452 is 254331.

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 an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3 + 4³ + 3⁷ + 5³ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (133451) 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, 228 + ... + 564.

2¹³³⁴⁵² is an apocalyptic number.

133452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184548).

133452 is an abundant number, since it is smaller than the sum of its proper divisors (235644).

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

133452 is a wasteful number, since it uses less digits than its factorization.

133452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 133452 is about 365.3108265573. The cubic root of 133452 is about 51.1024468965.

Adding to 133452 its reverse (254331), we get a palindrome (387783).

It can be divided in two parts, 133 and 452, that added together give a palindrome (585).

The spelling of 133452 in words is "one hundred thirty-three thousand, four hundred fifty-two".