133005332000 has 96 divisors (see below), whose sum is σ = 327086532864. Its totient is φ = 53154528000.

The previous prime is 133005331997. The next prime is 133005332017. The reversal of 133005332000 is 233500331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4637705 + ... + 4666295.

It is an arithmetic number, because the mean of its divisors is an integer number (3407151384).

Almost surely, 2^133005332000 is an apocalyptic number.

133005332000 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 133005332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163543266432).

133005332000 is an abundant number, since it is smaller than the sum of its proper divisors (194081200864).

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

133005332000 is a wasteful number, since it uses less digits than its factorization.

133005332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29779 (or 29761 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 133005332000 its reverse (233500331), we get a palindrome (133238832331).

The spelling of 133005332000 in words is "one hundred thirty-three billion, five million, three hundred thirty-two thousand".