134649216 has 256 divisors, whose sum is σ = 444964800. Its totient is φ = 40310784.

The previous prime is 134649209. The next prime is 134649227. The reversal of 134649216 is 612946431.

134649216 is a `hidden beast` number, since 1 + 3 + 4 + 649 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×134649216² = 36260822738829312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 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, 3639150 + ... + 3639186.

Almost surely, 2^134649216 is an apocalyptic number.

134649216 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 134649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222482400).

134649216 is an abundant number, since it is smaller than the sum of its proper divisors (310315584).

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

134649216 is an frugal number, since it uses more digits than its factorization.

134649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 134649216 is about 11603.8448800387. The cubic root of 134649216 is about 512.5480784560.

The spelling of 134649216 in words is "one hundred thirty-four million, six hundred forty-nine thousand, two hundred sixteen".