146115216 has 120 divisors (see below), whose sum is σ = 445830840. Its totient is φ = 44402688.

The previous prime is 146115199. The next prime is 146115227. The reversal of 146115216 is 612511641.

It can be written as a sum of positive squares in 4 ways, for example, as 6969600 + 139145616 = 2640^2 + 11796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146115216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166170 + ... + 167046.

It is an arithmetic number, because the mean of its divisors is an integer number (3715257).

Almost surely, 2^146115216 is an apocalyptic number.

146115216 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 146115216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222915420).

146115216 is an abundant number, since it is smaller than the sum of its proper divisors (299715624).

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

146115216 is a wasteful number, since it uses less digits than its factorization.

146115216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 146115216 is about 12087.8127053657. The cubic root of 146115216 is about 526.7022191101.

Adding to 146115216 its reverse (612511641), we get a palindrome (758626857).

The spelling of 146115216 in words is "one hundred forty-six million, one hundred fifteen thousand, two hundred sixteen".