133708320 has 288 divisors, whose sum is σ = 500834880. Its totient is φ = 33592320.

The previous prime is 133708319. The next prime is 133708321. The reversal of 133708320 is 23807331.

133708320 is a `hidden beast` number, since 1 + 337 + 0 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (133708319) and next prime (133708321).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1086 × 114 × 1080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133708321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738630 + ... + 738810.

It is an arithmetic number, because the mean of its divisors is an integer number (1739010).

Almost surely, 2^133708320 is an apocalyptic number.

133708320 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 133708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

133708320 is an abundant number, since it is smaller than the sum of its proper divisors (367126560).

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

133708320 is a wasteful number, since it uses less digits than its factorization.

133708320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133708320 is about 11563.2313822737. The cubic root of 133708320 is about 511.3514330179.

The spelling of 133708320 in words is "one hundred thirty-three million, seven hundred eight thousand, three hundred twenty".