133104216 has 64 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 37900800.

The previous prime is 133104211. The next prime is 133104241. The reversal of 133104216 is 612401331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133104192 and 133104201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133104211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55441 + ... + 57791.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2^133104216 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 133104216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

133104216 is an abundant number, since it is smaller than the sum of its proper divisors (248484264).

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

133104216 is a wasteful number, since it uses less digits than its factorization.

133104216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 133104216 is about 11537.0800465282. The cubic root of 133104216 is about 510.5801625326.

Adding to 133104216 its reverse (612401331), we get a palindrome (745505547).

The spelling of 133104216 in words is "one hundred thirty-three million, one hundred four thousand, two hundred sixteen".