133918720 has 104 divisors (see below), whose sum is σ = 346774176. Its totient is φ = 49348608.

The previous prime is 133918717. The next prime is 133918769. The reversal of 133918720 is 27819331.

It is a tau number, because it is divible by the number of its divisors (104).

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, 265989 + ... + 266491.

Almost surely, 2^133918720 is an apocalyptic number.

133918720 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 133918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173387088).

133918720 is an abundant number, since it is smaller than the sum of its proper divisors (212855456).

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

133918720 is an equidigital number, since it uses as much as digits as its factorization.

133918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 133918720 is about 11572.3256089690. The cubic root of 133918720 is about 511.6195089761.

The spelling of 133918720 in words is "one hundred thirty-three million, nine hundred eighteen thousand, seven hundred twenty".