320147136 has 84 divisors (see below), whose sum is σ = 935047152. Its totient is φ = 104692224.

The previous prime is 320147129. The next prime is 320147141. The reversal of 320147136 is 631741023.

320147136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 25285 + ... + 35771.

Almost surely, 2^320147136 is an apocalyptic number.

320147136 is a gapful number since it is divisible by the number (36) 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 320147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467523576).

320147136 is an abundant number, since it is smaller than the sum of its proper divisors (614900016).

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

320147136 is a wasteful number, since it uses less digits than its factorization.

320147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 320147136 is about 17892.6559235906. The cubic root of 320147136 is about 684.0951955328.

Adding to 320147136 its reverse (631741023), we get a palindrome (951888159).

It can be divided in two parts, 320 and 147136, that added together give a square (147456 = 384²).

The spelling of 320147136 in words is "three hundred twenty million, one hundred forty-seven thousand, one hundred thirty-six".