133380 has 96 divisors (see below), whose sum is σ = 470400. Its totient is φ = 31104.

The previous prime is 133379. The next prime is 133387. The reversal of 133380 is 83331.

133380 is nontrivially palindromic in base 8.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7011 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2¹³³³⁸⁰ is an apocalyptic number.

133380 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 133380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235200).

133380 is an abundant number, since it is smaller than the sum of its proper divisors (337020).

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

133380 is a wasteful number, since it uses less digits than its factorization.

133380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 42 counting only the distinct ones).

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

The square root of 133380 is about 365.2122670448. The cubic root of 133380 is about 51.0932549822.

The spelling of 133380 in words is "one hundred thirty-three thousand, three hundred eighty".