133418880 has 256 divisors, whose sum is σ = 540518400. Its totient is φ = 30468096.

The previous prime is 133418843. The next prime is 133418891. The reversal of 133418880 is 88814331.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120409 + ... + 121511.

It is an arithmetic number, because the mean of its divisors is an integer number (2111400).

Almost surely, 2^133418880 is an apocalyptic number.

133418880 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 133418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270259200).

133418880 is an abundant number, since it is smaller than the sum of its proper divisors (407099520).

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

133418880 is a wasteful number, since it uses less digits than its factorization.

133418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 133418880 is about 11550.7090691438. The cubic root of 133418880 is about 510.9821902665.

The spelling of 133418880 in words is "one hundred thirty-three million, four hundred eighteen thousand, eight hundred eighty".