133393680 has 360 divisors, whose sum is σ = 551304000. Its totient is φ = 28740096.

The previous prime is 133393639. The next prime is 133393691. The reversal of 133393680 is 86393331.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670221 + ... + 670419.

It is an arithmetic number, because the mean of its divisors is an integer number (1531400).

Almost surely, 2^133393680 is an apocalyptic number.

133393680 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 133393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275652000).

133393680 is an abundant number, since it is smaller than the sum of its proper divisors (417910320).

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

133393680 is a wasteful number, since it uses less digits than its factorization.

133393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 133393680 is about 11549.6181755069. The cubic root of 133393680 is about 510.9500170039.

The spelling of 133393680 in words is "one hundred thirty-three million, three hundred ninety-three thousand, six hundred eighty".