133932000 has 96 divisors (see below), whose sum is σ = 438800544. Its totient is φ = 35712000.

The previous prime is 133931983. The next prime is 133932011. The reversal of 133932000 is 239331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6420 + ... + 17580.

It is an arithmetic number, because the mean of its divisors is an integer number (4570839).

Almost surely, 2^133932000 is an apocalyptic number.

133932000 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 133932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219400272).

133932000 is an abundant number, since it is smaller than the sum of its proper divisors (304868544).

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

133932000 is a wasteful number, since it uses less digits than its factorization.

133932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 133932000 is about 11572.8993774248. The cubic root of 133932000 is about 511.6364199365.

The spelling of 133932000 in words is "one hundred thirty-three million, nine hundred thirty-two thousand".