146072720313 has 12 divisors (see below), whose sum is σ = 227224231780. Its totient is φ = 89890904736.

The previous prime is 146072720281. The next prime is 146072720341. The reversal of 146072720313 is 313027270641.

146072720313 is a `hidden beast` number, since 1 + 4 + 607 + 27 + 20 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9625964544 + 136446755769 = 98112^2 + 369387^2 .

It is not a de Polignac number, because 146072720313 - 2⁵ = 146072720281 is a prime.

It is a super-3 number, since 3×146072720313³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (146072720363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624242278 + ... + 624242511.

Almost surely, 2^146072720313 is an apocalyptic number.

146072720313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146072720313 is a deficient number, since it is larger than the sum of its proper divisors (81151511467).

146072720313 is a wasteful number, since it uses less digits than its factorization.

146072720313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248484808 (or 1248484805 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 146072720313 its reverse (313027270641), we get a palindrome (459099990954).

The spelling of 146072720313 in words is "one hundred forty-six billion, seventy-two million, seven hundred twenty thousand, three hundred thirteen".