314120135352 has 128 divisors (see below), whose sum is σ = 823633090560. Its totient is φ = 99713679360.

The previous prime is 314120135339. The next prime is 314120135353. The reversal of 314120135352 is 253531021413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314120135353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15860368 + ... + 15880160.

It is an arithmetic number, because the mean of its divisors is an integer number (6434633520).

Almost surely, 2^314120135352 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 314120135352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411816545280).

314120135352 is an abundant number, since it is smaller than the sum of its proper divisors (509512955208).

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

314120135352 is a wasteful number, since it uses less digits than its factorization.

314120135352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20173 (or 20169 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 314120135352 its reverse (253531021413), we get a palindrome (567651156765).

The spelling of 314120135352 in words is "three hundred fourteen billion, one hundred twenty million, one hundred thirty-five thousand, three hundred fifty-two".