165275352 has 144 divisors (see below), whose sum is σ = 501686640. Its totient is φ = 49104000.

The previous prime is 165275351. The next prime is 165275417. The reversal of 165275352 is 253572561.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165275351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 531277 + ... + 531587.

It is an arithmetic number, because the mean of its divisors is an integer number (3483935).

Almost surely, 2^165275352 is an apocalyptic number.

165275352 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 165275352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250843320).

165275352 is an abundant number, since it is smaller than the sum of its proper divisors (336411288).

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

165275352 is a wasteful number, since it uses less digits than its factorization.

165275352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 165275352 is about 12855.9461728805. The cubic root of 165275352 is about 548.7855871885.

The spelling of 165275352 in words is "one hundred sixty-five million, two hundred seventy-five thousand, three hundred fifty-two".