133816320 has 336 divisors, whose sum is σ = 522945360. Its totient is φ = 32440320.

The previous prime is 133816313. The next prime is 133816337. The reversal of 133816320 is 23618331.

It is a happy number.

133816320 is a `hidden beast` number, since 1 + 338 + 1 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

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, 12165115 + ... + 12165125.

It is an arithmetic number, because the mean of its divisors is an integer number (1556385).

Almost surely, 2^133816320 is an apocalyptic number.

133816320 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 133816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261472680).

133816320 is an abundant number, since it is smaller than the sum of its proper divisors (389129040).

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

133816320 is an equidigital number, since it uses as much as digits as its factorization.

133816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133816320 is about 11567.9004145091. The cubic root of 133816320 is about 511.4890736480.

It can be divided in two parts, 13381 and 6320, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 133816320 in words is "one hundred thirty-three million, eight hundred sixteen thousand, three hundred twenty".