165128544 has 240 divisors, whose sum is σ = 585446400. Its totient is φ = 44603136.

The previous prime is 165128539. The next prime is 165128567. The reversal of 165128544 is 445821561.

It is a happy number.

165128544 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 165128499 and 165128508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344497 + ... + 344975.

It is an arithmetic number, because the mean of its divisors is an integer number (2439360).

Almost surely, 2^165128544 is an apocalyptic number.

165128544 is a gapful number since it is divisible by the number (14) 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 165128544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

165128544 is an abundant number, since it is smaller than the sum of its proper divisors (420317856).

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

165128544 is a wasteful number, since it uses less digits than its factorization.

165128544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 165128544 is about 12850.2351729453. The cubic root of 165128544 is about 548.6230503877.

The spelling of 165128544 in words is "one hundred sixty-five million, one hundred twenty-eight thousand, five hundred forty-four".