165545952 has 192 divisors, whose sum is σ = 528353280. Its totient is φ = 44697600.

The previous prime is 165545951. The next prime is 165545953. The reversal of 165545952 is 259545561.

165545952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165545951) and next prime (165545953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165545951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425374 + ... + 425762.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^165545952 is an apocalyptic number.

165545952 is a gapful number since it is divisible by the number (12) 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 165545952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

165545952 is an abundant number, since it is smaller than the sum of its proper divisors (362807328).

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

165545952 is a wasteful number, since it uses less digits than its factorization.

165545952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its digits is 270000, while the sum is 42.

The square root of 165545952 is about 12866.4661815123. The cubic root of 165545952 is about 549.0849268586.

The spelling of 165545952 in words is "one hundred sixty-five million, five hundred forty-five thousand, nine hundred fifty-two".