165883136 has 72 divisors (see below), whose sum is σ = 345795744. Its totient is φ = 79349760.

The previous prime is 165883117. The next prime is 165883141. The reversal of 165883136 is 631388561.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 165883093 and 165883102.

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, 786071 + ... + 786281.

Almost surely, 2^165883136 is an apocalyptic number.

165883136 is a gapful number since it is divisible by the number (16) 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 165883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172897872).

165883136 is an abundant number, since it is smaller than the sum of its proper divisors (179912608).

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

165883136 is an equidigital number, since it uses as much as digits as its factorization.

165883136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 165883136 is about 12879.5627254965. The cubic root of 165883136 is about 549.4574661088.

The spelling of 165883136 in words is "one hundred sixty-five million, eight hundred eighty-three thousand, one hundred thirty-six".