133224420 has 96 divisors (see below), whose sum is σ = 437891328. Its totient is φ = 29624832.

The previous prime is 133224361. The next prime is 133224433. The reversal of 133224420 is 24422331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11254 + ... + 19826.

It is an arithmetic number, because the mean of its divisors is an integer number (4561368).

Almost surely, 2^133224420 is an apocalyptic number.

133224420 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 133224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218945664).

133224420 is an abundant number, since it is smaller than the sum of its proper divisors (304666908).

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

133224420 is a wasteful number, since it uses less digits than its factorization.

133224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 133224420 is about 11542.2883346414. The cubic root of 133224420 is about 510.7338148456.

Adding to 133224420 its reverse (24422331), we get a palindrome (157646751).

It can be divided in two parts, 1332 and 24420, that added together give a palindrome (25752).

The spelling of 133224420 in words is "one hundred thirty-three million, two hundred twenty-four thousand, four hundred twenty".