133024320 has 672 divisors, whose sum is σ = 599114880. Its totient is φ = 26542080.

The previous prime is 133024319. The next prime is 133024357. The reversal of 133024320 is 23420331.

It is a super-2 number, since 2×133024320² = 35390939422924800, which contains 22 as substring.

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 = 133024293 and 133024302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7001271 + ... + 7001289.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^133024320 is an apocalyptic number.

133024320 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 133024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299557440).

133024320 is an abundant number, since it is smaller than the sum of its proper divisors (466090560).

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

133024320 is a wasteful number, since it uses less digits than its factorization.

133024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

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

The square root of 133024320 is about 11533.6169521967. The cubic root of 133024320 is about 510.4779832561.

Adding to 133024320 its reverse (23420331), we get a palindrome (156444651).

The spelling of 133024320 in words is "one hundred thirty-three million, twenty-four thousand, three hundred twenty".