320135315232 has 96 divisors (see below), whose sum is σ = 844216478784. Its totient is φ = 106222592000.

The previous prime is 320135315209. The next prime is 320135315239. The reversal of 320135315232 is 232513531023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×320135315232² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320135315232.

It is not an unprimeable number, because it can be changed into a prime (320135315239) 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 15 ways as a sum of consecutive naturals, for example, 18893068 + ... + 18910004.

It is an arithmetic number, because the mean of its divisors is an integer number (8793921654).

Almost surely, 2^320135315232 is an apocalyptic number.

320135315232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320135315232 is an abundant number, since it is smaller than the sum of its proper divisors (524081163552).

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

320135315232 is a wasteful number, since it uses less digits than its factorization.

320135315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842 (or 17834 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 320135315232 its reverse (232513531023), we get a palindrome (552648846255).

The spelling of 320135315232 in words is "three hundred twenty billion, one hundred thirty-five million, three hundred fifteen thousand, two hundred thirty-two".