165736368 has 100 divisors (see below), whose sum is σ = 548246160. Its totient is φ = 47350656.

The previous prime is 165736339. The next prime is 165736393. The reversal of 165736368 is 863637561.

165736368 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 3 + 636 + 8 = 666.

165736368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63 + ... + 18206.

Almost surely, 2^165736368 is an apocalyptic number.

165736368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165736368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274123080).

165736368 is an abundant number, since it is smaller than the sum of its proper divisors (382509792).

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

165736368 is a wasteful number, since it uses less digits than its factorization.

165736368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296 (or 18281 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 165736368 is about 12873.8637556873. The cubic root of 165736368 is about 549.2953709326.

It can be divided in two parts, 1657 and 36368, that added together give a square (38025 = 195²).

The spelling of 165736368 in words is "one hundred sixty-five million, seven hundred thirty-six thousand, three hundred sixty-eight".