320123136 has 72 divisors (see below), whose sum is σ = 860638464. Its totient is φ = 105625600.

The previous prime is 320123129. The next prime is 320123137. The reversal of 320123136 is 631321023.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (320123137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75505 + ... + 79631.

It is an arithmetic number, because the mean of its divisors is an integer number (11953312).

Almost surely, 2^320123136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430319232).

320123136 is an abundant number, since it is smaller than the sum of its proper divisors (540515328).

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

320123136 is a wasteful number, since it uses less digits than its factorization.

320123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 320123136 is about 17891.9852447961. The cubic root of 320123136 is about 684.0781005857.

Adding to 320123136 its reverse (631321023), we get a palindrome (951444159).

The spelling of 320123136 in words is "three hundred twenty million, one hundred twenty-three thousand, one hundred thirty-six".