133830 has 24 divisors (see below), whose sum is σ = 348192. Its totient is φ = 35664.

The previous prime is 133813. The next prime is 133831. The reversal of 133830 is 38331.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2¹³³⁸³⁰ is an apocalyptic number.

133830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133830 is an abundant number, since it is smaller than the sum of its proper divisors (214362).

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

133830 is a wasteful number, since it uses less digits than its factorization.

133830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1497 counting only the distinct ones).

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

The square root of 133830 is about 365.8278283565. The cubic root of 133830 is about 51.1506502843.

The spelling of 133830 in words is "one hundred thirty-three thousand, eight hundred thirty".