146313216 has 273 divisors, whose sum is σ = 510307491. Its totient is φ = 41803776.

The previous prime is 146313187. The next prime is 146313217. The reversal of 146313216 is 612313641.

The square root of 146313216 is 12096.

It is a perfect power (a square), and thus also a powerful number.

146313216 is a `hidden beast` number, since 1 + 4 + 631 + 3 + 21 + 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.

Its product of digits (2592) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 146313216.

It is not an unprimeable number, because it can be changed into a prime (146313217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20901885 + ... + 20901891.

Almost surely, 2^146313216 is an apocalyptic number.

146313216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146313216 is the 12096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146313216

146313216 is an abundant number, since it is smaller than the sum of its proper divisors (363994275).

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

146313216 is an frugal number, since it uses more digits than its factorization.

146313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 12 counting only the distinct ones).

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

The cubic root of 146313216 is about 526.9400222433.

Adding to 146313216 its reverse (612313641), we get a palindrome (758626857).

The spelling of 146313216 in words is "one hundred forty-six million, three hundred thirteen thousand, two hundred sixteen".