165334656 has 256 divisors, whose sum is σ = 517017600. Its totient is φ = 46448640.

The previous prime is 165334633. The next prime is 165334669. The reversal of 165334656 is 656433561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3844971 + ... + 3845013.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 2^165334656 is an apocalyptic number.

165334656 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 165334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258508800).

165334656 is an abundant number, since it is smaller than the sum of its proper divisors (351682944).

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

165334656 is a wasteful number, since it uses less digits than its factorization.

165334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 165334656 is about 12858.2524473585. The cubic root of 165334656 is about 548.8512176414.

The spelling of 165334656 in words is "one hundred sixty-five million, three hundred thirty-four thousand, six hundred fifty-six".