133918080 has 128 divisors (see below), whose sum is σ = 449452800. Its totient is φ = 33822720.

The previous prime is 133918073. The next prime is 133918091. The reversal of 133918080 is 80819331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34645 + ... + 38315.

It is an arithmetic number, because the mean of its divisors is an integer number (3511350).

Almost surely, 2^133918080 is an apocalyptic number.

133918080 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 133918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224726400).

133918080 is an abundant number, since it is smaller than the sum of its proper divisors (315534720).

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

133918080 is a wasteful number, since it uses less digits than its factorization.

133918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 133918080 is about 11572.2979567586. The cubic root of 133918080 is about 511.6186939618.

The spelling of 133918080 in words is "one hundred thirty-three million, nine hundred eighteen thousand, eighty".