165315000 has 160 divisors (see below), whose sum is σ = 526331520. Its totient is φ = 43248000.

The previous prime is 165314999. The next prime is 165315041. The reversal of 165315000 is 513561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1544947 + ... + 1545053.

It is an arithmetic number, because the mean of its divisors is an integer number (3289572).

Almost surely, 2^165315000 is an apocalyptic number.

165315000 is a gapful number since it is divisible by the number (10) 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 165315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263165760).

165315000 is an abundant number, since it is smaller than the sum of its proper divisors (361016520).

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

165315000 is a wasteful number, since it uses less digits than its factorization.

165315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 165315000 is about 12857.4880906031. The cubic root of 165315000 is about 548.8294665108.

Adding to 165315000 its reverse (513561), we get a palindrome (165828561).

It can be divided in two parts, 1653 and 15000, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 165315000 in words is "one hundred sixty-five million, three hundred fifteen thousand".