133998080 has 80 divisors (see below), whose sum is σ = 340290720. Its totient is φ = 50429952.

The previous prime is 133998077. The next prime is 133998091. The reversal of 133998080 is 80899331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41981 + ... + 45059.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2^133998080 is an apocalyptic number.

133998080 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 133998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

133998080 is an abundant number, since it is smaller than the sum of its proper divisors (206292640).

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

133998080 is an equidigital number, since it uses as much as digits as its factorization.

133998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 133998080 is about 11575.7539711243. The cubic root of 133998080 is about 511.7205506294.

The spelling of 133998080 in words is "one hundred thirty-three million, nine hundred ninety-eight thousand, eighty".