133216 has 24 divisors (see below), whose sum is σ = 275184. Its totient is φ = 63360.

The previous prime is 133213. The next prime is 133241. The reversal of 133216 is 612331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 133216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 646 + ... + 826.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2¹³³²¹⁶ is an apocalyptic number.

133216 is a gapful number since it is divisible by the number (16) 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 133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

133216 is an abundant number, since it is smaller than the sum of its proper divisors (141968).

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

133216 is a wasteful number, since it uses less digits than its factorization.

133216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 133216 is about 364.9876710247. The cubic root of 133216 is about 51.0723054883.

Adding to 133216 its reverse (612331), we get a palindrome (745547).

It can be divided in two parts, 1332 and 16, that multiplied together give a palindrome (21312).

The spelling of 133216 in words is "one hundred thirty-three thousand, two hundred sixteen".