352135168 has 216 divisors, whose sum is σ = 931325850. Its totient is φ = 132464640.

The previous prime is 352135141. The next prime is 352135177. The reversal of 352135168 is 861531253.

It can be written as a sum of positive squares in only one way, i.e., 297493504 + 54641664 = 17248^2 + 7392^2 .

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 17 ways as a sum of consecutive naturals, for example, 12142578 + ... + 12142606.

Almost surely, 2^352135168 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 352135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465662925).

352135168 is an abundant number, since it is smaller than the sum of its proper divisors (579190682).

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

352135168 is a wasteful number, since it uses less digits than its factorization.

352135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 352135168 is about 18765.2649328487. The cubic root of 352135168 is about 706.1600324168.

The spelling of 352135168 in words is "three hundred fifty-two million, one hundred thirty-five thousand, one hundred sixty-eight".