133533000 has 192 divisors, whose sum is σ = 464695920. Its totient is φ = 34560000.

The previous prime is 133532983. The next prime is 133533041. The reversal of 133533000 is 335331.

133533000 is a `hidden beast` number, since 1 + 335 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 62062884 + 71470116 = 7878^2 + 8454^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332800 + ... + 333200.

Almost surely, 2^133533000 is an apocalyptic number.

133533000 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 133533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232347960).

133533000 is an abundant number, since it is smaller than the sum of its proper divisors (331162920).

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

133533000 is a wasteful number, since it uses less digits than its factorization.

133533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 133533000 is about 11555.6479697159. The cubic root of 133533000 is about 511.1278384920.

Adding to 133533000 its reverse (335331), we get a palindrome (133868331).

The spelling of 133533000 in words is "one hundred thirty-three million, five hundred thirty-three thousand".