133363116 has 72 divisors (see below), whose sum is σ = 352969344. Its totient is φ = 42405120.

The previous prime is 133363103. The next prime is 133363121. The reversal of 133363116 is 611363331.

133363116 is a `hidden beast` number, since 13 + 3 + 3 + 631 + 16 = 666.

133363116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133363116.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80650 + ... + 82286.

It is an arithmetic number, because the mean of its divisors is an integer number (4902352).

Almost surely, 2^133363116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133363116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176484672).

133363116 is an abundant number, since it is smaller than the sum of its proper divisors (219606228).

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

133363116 is a wasteful number, since it uses less digits than its factorization.

133363116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1746 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 133363116 is about 11548.2949390808. The cubic root of 133363116 is about 510.9109899945.

The spelling of 133363116 in words is "one hundred thirty-three million, three hundred sixty-three thousand, one hundred sixteen".