165665136 has 320 divisors, whose sum is σ = 587962368. Its totient is φ = 38928384.

The previous prime is 165665131. The next prime is 165665167. The reversal of 165665136 is 631566561.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (97200) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 165665094 and 165665103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165665131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1707840 + ... + 1707936.

Almost surely, 2^165665136 is an apocalyptic number.

165665136 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 165665136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293981184).

165665136 is an abundant number, since it is smaller than the sum of its proper divisors (422297232).

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

165665136 is a wasteful number, since it uses less digits than its factorization.

165665136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 165665136 is about 12871.0969229511. The cubic root of 165665136 is about 549.2166655863.

The spelling of 165665136 in words is "one hundred sixty-five million, six hundred sixty-five thousand, one hundred thirty-six".