165240000 has 420 divisors, whose sum is σ = 649873224. Its totient is φ = 41472000.

The previous prime is 165239989. The next prime is 165240029. The reversal of 165240000 is 42561.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 9719992 + ... + 9720008.

Almost surely, 2^165240000 is an apocalyptic number.

165240000 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 165240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324936612).

165240000 is an abundant number, since it is smaller than the sum of its proper divisors (484633224).

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

165240000 is an frugal number, since it uses more digits than its factorization.

165240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 165240000 is about 12854.5711713771. The cubic root of 165240000 is about 548.7464564263.

Adding to 165240000 its reverse (42561), we get a palindrome (165282561).

The spelling of 165240000 in words is "one hundred sixty-five million, two hundred forty thousand".