133420320 has 144 divisors (see below), whose sum is σ = 496746432. Its totient is φ = 32340480.

The previous prime is 133420283. The next prime is 133420351. The reversal of 133420320 is 23024331.

133420320 is a `hidden beast` number, since 1 + 3 + 342 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 133420293 and 133420302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11629 + ... + 20051.

It is an arithmetic number, because the mean of its divisors is an integer number (3449628).

Almost surely, 2^133420320 is an apocalyptic number.

133420320 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 133420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248373216).

133420320 is an abundant number, since it is smaller than the sum of its proper divisors (363326112).

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

133420320 is a wasteful number, since it uses less digits than its factorization.

133420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133420320 is about 11550.7714028112. The cubic root of 133420320 is about 510.9840286163.

Adding to 133420320 its reverse (23024331), we get a palindrome (156444651).

The spelling of 133420320 in words is "one hundred thirty-three million, four hundred twenty thousand, three hundred twenty".