133416 has 48 divisors (see below), whose sum is σ = 386100. Its totient is φ = 41472.

The previous prime is 133403. The next prime is 133417. The reversal of 133416 is 614331.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 8100 = 354^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (133417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 1278.

2¹³³⁴¹⁶ 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 133416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193050).

133416 is an abundant number, since it is smaller than the sum of its proper divisors (252684).

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

133416 is a wasteful number, since it uses less digits than its factorization.

133416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 133416 is about 365.2615501254. The cubic root of 133416 is about 51.0978513527.

Adding to 133416 its reverse (614331), we get a palindrome (747747).

The spelling of 133416 in words is "one hundred thirty-three thousand, four hundred sixteen".