165361152 has 80 divisors (see below), whose sum is σ = 480629952. Its totient is φ = 50104320.

The previous prime is 165361151. The next prime is 165361249. The reversal of 165361152 is 251163561.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165361151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12003 + ... + 21789.

Almost surely, 2^165361152 is an apocalyptic number.

165361152 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 165361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240314976).

165361152 is an abundant number, since it is smaller than the sum of its proper divisors (315268800).

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

165361152 is an equidigital number, since it uses as much as digits as its factorization.

165361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9819 (or 9803 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 165361152 is about 12859.2827171658. The cubic root of 165361152 is about 548.8805351187.

The spelling of 165361152 in words is "one hundred sixty-five million, three hundred sixty-one thousand, one hundred fifty-two".