165466752 has 128 divisors (see below), whose sum is σ = 491166720. Its totient is φ = 48921600.

The previous prime is 165466727. The next prime is 165466757. The reversal of 165466752 is 257664561.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165466757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181177 + ... + 182087.

It is an arithmetic number, because the mean of its divisors is an integer number (3837240).

Almost surely, 2^165466752 is an apocalyptic number.

165466752 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 165466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245583360).

165466752 is an abundant number, since it is smaller than the sum of its proper divisors (325699968).

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

165466752 is a wasteful number, since it uses less digits than its factorization.

165466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 165466752 is about 12863.3880451458. The cubic root of 165466752 is about 548.9973490338.

The spelling of 165466752 in words is "one hundred sixty-five million, four hundred sixty-six thousand, seven hundred fifty-two".