165242000 has 320 divisors, whose sum is σ = 529251840. Its totient is φ = 48384000.

The previous prime is 165241957. The next prime is 165242017. The reversal of 165242000 is 242561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4465982 + ... + 4466018.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^165242000 is an apocalyptic number.

165242000 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 165242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264625920).

165242000 is an abundant number, since it is smaller than the sum of its proper divisors (364009840).

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

165242000 is a wasteful number, since it uses less digits than its factorization.

165242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 165242000 is about 12854.6489644797. The cubic root of 165242000 is about 548.7486703544.

Adding to 165242000 its reverse (242561), we get a palindrome (165484561).

The spelling of 165242000 in words is "one hundred sixty-five million, two hundred forty-two thousand".