165042300 has 72 divisors (see below), whose sum is σ = 479858176. Its totient is φ = 43796160.

The previous prime is 165042253. The next prime is 165042313. The reversal of 165042300 is 3240561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65667 + ... + 68133.

Almost surely, 2^165042300 is an apocalyptic number.

165042300 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 165042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239929088).

165042300 is an abundant number, since it is smaller than the sum of its proper divisors (314815876).

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

165042300 is a wasteful number, since it uses less digits than its factorization.

165042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 165042300 is about 12846.8789984183. The cubic root of 165042300 is about 548.5275214036.

Adding to 165042300 its reverse (3240561), we get a palindrome (168282861).

The spelling of 165042300 in words is "one hundred sixty-five million, forty-two thousand, three hundred".