133200 has 90 divisors (see below), whose sum is σ = 474734. Its totient is φ = 34560.

The previous prime is 133187. The next prime is 133201. The reversal of 133200 is 2331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 104976 = 168^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3582 + ... + 3618.

2¹³³²⁰⁰ is an apocalyptic number.

133200 is a gapful number since it is divisible by the number (10) 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 133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237367).

133200 is an abundant number, since it is smaller than the sum of its proper divisors (341534).

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

133200 is a wasteful number, since it uses less digits than its factorization.

133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 133200 is about 364.9657518179. The cubic root of 133200 is about 51.0702607149.

Adding to 133200 its reverse (2331), we get a palindrome (135531).

It can be divided in two parts, 133 and 200, that added together give a palindrome (333).

The spelling of 133200 in words is "one hundred thirty-three thousand, two hundred".