133830000 has 150 divisors (see below), whose sum is σ = 468337584. Its totient is φ = 35664000.

The previous prime is 133829989. The next prime is 133830023. The reversal of 133830000 is 38331.

It is a tau number, because it is divible by the number of its divisors (150).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89257 + ... + 90743.

Almost surely, 2^133830000 is an apocalyptic number.

133830000 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 133830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234168792).

133830000 is an abundant number, since it is smaller than the sum of its proper divisors (334507584).

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

133830000 is a wasteful number, since it uses less digits than its factorization.

133830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133830000 is about 11568.4916907953. The cubic root of 133830000 is about 511.5065028427.

Adding to 133830000 its reverse (38331), we get a palindrome (133868331).

The spelling of 133830000 in words is "one hundred thirty-three million, eight hundred thirty thousand".