165414528 has 128 divisors (see below), whose sum is σ = 509673600. Its totient is φ = 52715520.

The previous prime is 165414527. The next prime is 165414533. The reversal of 165414528 is 825414561.

It is a happy number.

165414528 is a `hidden beast` number, since 165 + 41 + 452 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 165414492 and 165414501.

It is not an unprimeable number, because it can be changed into a prime (165414523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78448 + ... + 80528.

It is an arithmetic number, because the mean of its divisors is an integer number (3981825).

Almost surely, 2^165414528 is an apocalyptic number.

165414528 is a gapful number since it is divisible by the number (18) 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 165414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254836800).

165414528 is an abundant number, since it is smaller than the sum of its proper divisors (344259072).

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

165414528 is a wasteful number, since it uses less digits than its factorization.

165414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2109 counting only the distinct ones).

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

The square root of 165414528 is about 12861.3579376363. The cubic root of 165414528 is about 548.9395854568.

The spelling of 165414528 in words is "one hundred sixty-five million, four hundred fourteen thousand, five hundred twenty-eight".