134217216 has 320 divisors, whose sum is σ = 484492800. Its totient is φ = 35831808.

The previous prime is 134217199. The next prime is 134217221. The reversal of 134217216 is 612712431.

It is a super-2 number, since 2×134217216² = 36028522141581312, which contains 22 as substring.

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.

Its product of digits (2016) is a multiple of the sum of its prime factors (126).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2 and base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 134217216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838556 + ... + 1838628.

It is an arithmetic number, because the mean of its divisors is an integer number (1514040).

Almost surely, 2^134217216 is an apocalyptic number.

134217216 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 134217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242246400).

134217216 is an abundant number, since it is smaller than the sum of its proper divisors (350275584).

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

134217216 is an equidigital number, since it uses as much as digits as its factorization.

134217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 134217216 is about 11585.2154058524. The cubic root of 134217216 is about 511.9993489575. Note that the first 3 decimals are identical.

Adding to 134217216 its reverse (612712431), we get a palindrome (746929647).

The spelling of 134217216 in words is "one hundred thirty-four million, two hundred seventeen thousand, two hundred sixteen".