165165000 has 480 divisors, whose sum is σ = 698026560. Its totient is φ = 31680000.

The previous prime is 165164999. The next prime is 165165031. The reversal of 165165000 is 561561.

165165000 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12704994 + ... + 12705006.

It is an arithmetic number, because the mean of its divisors is an integer number (1454222).

Almost surely, 2^165165000 is an apocalyptic number.

165165000 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 165165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349013280).

165165000 is an abundant number, since it is smaller than the sum of its proper divisors (532861560).

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

165165000 is a wasteful number, since it uses less digits than its factorization.

165165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 165165000 is about 12851.6535901027. The cubic root of 165165000 is about 548.6634212199.

The spelling of 165165000 in words is "one hundred sixty-five million, one hundred sixty-five thousand".