146820313 has 8 divisors (see below), whose sum is σ = 155698632. Its totient is φ = 137968896.

The previous prime is 146820299. The next prime is 146820319. The reversal of 146820313 is 313028641.

It can be written as a sum of positive squares in 4 ways, for example, as 95023504 + 51796809 = 9748^2 + 7197^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146820313 - 2⁵ = 146820281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146820319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5131 + ... + 17887.

It is an arithmetic number, because the mean of its divisors is an integer number (19462329).

Almost surely, 2^146820313 is an apocalyptic number.

It is an amenable number.

146820313 is a deficient number, since it is larger than the sum of its proper divisors (8878319).

146820313 is a wasteful number, since it uses less digits than its factorization.

146820313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 146820313 is about 12116.9432201360. The cubic root of 146820313 is about 527.5480821381.

Adding to 146820313 its reverse (313028641), we get a palindrome (459848954).

The spelling of 146820313 in words is "one hundred forty-six million, eight hundred twenty thousand, three hundred thirteen".