133605120 has 144 divisors (see below), whose sum is σ = 465639552. Its totient is φ = 32378880.

The previous prime is 133605107. The next prime is 133605151. The reversal of 133605120 is 21506331.

133605120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 40659 + ... + 43821.

It is an arithmetic number, because the mean of its divisors is an integer number (3233608).

Almost surely, 2^133605120 is an apocalyptic number.

133605120 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 133605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232819776).

133605120 is an abundant number, since it is smaller than the sum of its proper divisors (332034432).

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

133605120 is a wasteful number, since it uses less digits than its factorization.

133605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 133605120 is about 11558.7681004508. The cubic root of 133605120 is about 511.2198404823.

The spelling of 133605120 in words is "one hundred thirty-three million, six hundred five thousand, one hundred twenty".