133822080 has 192 divisors, whose sum is σ = 528278400. Its totient is φ = 30578688.

The previous prime is 133822061. The next prime is 133822097. The reversal of 133822080 is 80228331.

It is a tau number, because it is divible by the number of its divisors (192).

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, 38661 + ... + 41979.

It is an arithmetic number, because the mean of its divisors is an integer number (2751450).

Almost surely, 2^133822080 is an apocalyptic number.

133822080 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 133822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264139200).

133822080 is an abundant number, since it is smaller than the sum of its proper divisors (394456320).

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

133822080 is a wasteful number, since it uses less digits than its factorization.

133822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 133822080 is about 11568.1493766289. The cubic root of 133822080 is about 511.4964124011.

The spelling of 133822080 in words is "one hundred thirty-three million, eight hundred twenty-two thousand, eighty".