133224320 has 128 divisors (see below), whose sum is σ = 336061440. Its totient is φ = 50448384.

The previous prime is 133224319. The next prime is 133224323. The reversal of 133224320 is 23422331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133224292 and 133224301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133224323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293389 + ... + 1293491.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 2^133224320 is an apocalyptic number.

133224320 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 133224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

133224320 is an abundant number, since it is smaller than the sum of its proper divisors (202837120).

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

133224320 is a wasteful number, since it uses less digits than its factorization.

133224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 133224320 is about 11542.2840027440. The cubic root of 133224320 is about 510.7336870577.

Adding to 133224320 its reverse (23422331), we get a palindrome (156646651).

It can be divided in two parts, 1332 and 24320, that added together give a palindrome (25652).

The spelling of 133224320 in words is "one hundred thirty-three million, two hundred twenty-four thousand, three hundred twenty".