133173216 has 144 divisors (see below), whose sum is σ = 417650688. Its totient is φ = 39916800.

The previous prime is 133173203. The next prime is 133173269. The reversal of 133173216 is 612371331.

133173216 is a `hidden beast` number, since 1 + 331 + 7 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133173216.

It is a congruent number.

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, 402171 + ... + 402501.

It is an arithmetic number, because the mean of its divisors is an integer number (2900352).

Almost surely, 2^133173216 is an apocalyptic number.

133173216 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 133173216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208825344).

133173216 is an abundant number, since it is smaller than the sum of its proper divisors (284477472).

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

133173216 is a wasteful number, since it uses less digits than its factorization.

133173216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 133173216 is about 11540.0700171186. The cubic root of 133173216 is about 510.6683739767.

It can be divided in two parts, 1331 and 73216, that added together give a palindrome (74547).

The spelling of 133173216 in words is "one hundred thirty-three million, one hundred seventy-three thousand, two hundred sixteen".