165385152 has 140 divisors (see below), whose sum is σ = 499243096. Its totient is φ = 54120960.

The previous prime is 165385147. The next prime is 165385159. The reversal of 165385152 is 251583561.

It is a happy number.

165385152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (165385159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 315963 + ... + 316485.

Almost surely, 2^165385152 is an apocalyptic number.

165385152 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 165385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249621548).

165385152 is an abundant number, since it is smaller than the sum of its proper divisors (333857944).

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

165385152 is an equidigital number, since it uses as much as digits as its factorization.

165385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 589 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 165385152 is about 12860.2158613299. The cubic root of 165385152 is about 548.9070881018.

The spelling of 165385152 in words is "one hundred sixty-five million, three hundred eighty-five thousand, one hundred fifty-two".