133320 has 64 divisors (see below), whose sum is σ = 440640. Its totient is φ = 32000.

The previous prime is 133319. The next prime is 133321. The reversal of 133320 is 23331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133319) and next prime (133321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 133296 and 133305.

It is not an unprimeable number, because it can be changed into a prime (133321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2¹³³³²⁰ is an apocalyptic number.

133320 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 133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320).

133320 is an abundant number, since it is smaller than the sum of its proper divisors (307320).

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

133320 is a wasteful number, since it uses less digits than its factorization.

133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133320 is about 365.1301137951. The cubic root of 133320 is about 51.0855925263.

Adding to 133320 its reverse (23331), we get a palindrome (156651).

It can be divided in two parts, 13 and 3320, that added together give a palindrome (3333).

The spelling of 133320 in words is "one hundred thirty-three thousand, three hundred twenty".