133612416 has 240 divisors, whose sum is σ = 464306040. Its totient is φ = 38029824.

The previous prime is 133612397. The next prime is 133612429. The reversal of 133612416 is 614216331.

133612416 is a `hidden beast` number, since 1 + 3 + 3 + 612 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133612416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507901 + ... + 508163.

Almost surely, 2^133612416 is an apocalyptic number.

133612416 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 133612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232153020).

133612416 is an abundant number, since it is smaller than the sum of its proper divisors (330693624).

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

133612416 is an equidigital number, since it uses as much as digits as its factorization.

133612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 133612416 is about 11559.0837007092. The cubic root of 133612416 is about 511.2291459941.

Adding to 133612416 its reverse (614216331), we get a palindrome (747828747).

The spelling of 133612416 in words is "one hundred thirty-three million, six hundred twelve thousand, four hundred sixteen".