117735168 has 72 divisors (see below), whose sum is σ = 317294208. Its totient is φ = 38751232.

The previous prime is 117735143. The next prime is 117735173. The reversal of 117735168 is 861537711.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 62821 + ... + 64667.

It is an arithmetic number, because the mean of its divisors is an integer number (4406864).

Almost surely, 2^117735168 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 117735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158647104).

117735168 is an abundant number, since it is smaller than the sum of its proper divisors (199559040).

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

117735168 is an equidigital number, since it uses as much as digits as its factorization.

117735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1935 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The square root of 117735168 is about 10850.5837630977. The cubic root of 117735168 is about 490.1195987389.

The spelling of 117735168 in words is "one hundred seventeen million, seven hundred thirty-five thousand, one hundred sixty-eight".