133516116 has 144 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 39626496.

The previous prime is 133516111. The next prime is 133516151. The reversal of 133516116 is 611615331.

133516116 is a `hidden beast` number, since 1 + 33 + 516 + 116 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133516116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133516111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051245 + ... + 1051371.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^133516116 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 133516116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

133516116 is an abundant number, since it is smaller than the sum of its proper divisors (243879084).

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

133516116 is a wasteful number, since it uses less digits than its factorization.

133516116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 133516116 is about 11554.9173947718. The cubic root of 133516116 is about 511.1062951377.

The spelling of 133516116 in words is "one hundred thirty-three million, five hundred sixteen thousand, one hundred sixteen".