133632000 has 312 divisors, whose sum is σ = 498340440. Its totient is φ = 34406400.

The previous prime is 133631999. The next prime is 133632013. The reversal of 133632000 is 236331.

It is a happy number.

133632000 is a `hidden beast` number, since 1 + 33 + 632 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 128323584 = 2304^2 + 11328^2 .

It is a super-2 number, since 2×133632000² = 35715022848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607986 + ... + 4608014.

It is an arithmetic number, because the mean of its divisors is an integer number (1597245).

Almost surely, 2^133632000 is an apocalyptic number.

133632000 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 133632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249170220).

133632000 is an abundant number, since it is smaller than the sum of its proper divisors (364708440).

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

133632000 is an equidigital number, since it uses as much as digits as its factorization.

133632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133632000 is about 11559.9307956406. The cubic root of 133632000 is about 511.2541222719.

Adding to 133632000 its reverse (236331), we get a palindrome (133868331).

The spelling of 133632000 in words is "one hundred thirty-three million, six hundred thirty-two thousand".