133332320 has 144 divisors (see below), whose sum is σ = 354733344. Its totient is φ = 47308800.

The previous prime is 133332317. The next prime is 133332323. The reversal of 133332320 is 23233331.

It is an interprime number because it is at equal distance from previous prime (133332317) and next prime (133332323).

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 = 133332292 and 133332301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133332323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374512 + ... + 1374608.

It is an arithmetic number, because the mean of its divisors is an integer number (2463426).

Almost surely, 2^133332320 is an apocalyptic number.

133332320 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 133332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177366672).

133332320 is an abundant number, since it is smaller than the sum of its proper divisors (221401024).

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

133332320 is a wasteful number, since it uses less digits than its factorization.

133332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 133332320 is about 11546.9615050887. The cubic root of 133332320 is about 510.8716607143.

Adding to 133332320 its reverse (23233331), we get a palindrome (156565651).

It can be divided in two parts, 13 and 3332320, that added together give a palindrome (3332333).

The spelling of 133332320 in words is "one hundred thirty-three million, three hundred thirty-two thousand, three hundred twenty".