165814128 has 100 divisors (see below), whose sum is σ = 485229360. Its totient is φ = 54660096.

The previous prime is 165814123. The next prime is 165814169. The reversal of 165814128 is 821418561.

165814128 is a `hidden beast` number, since 16 + 581 + 41 + 28 = 666.

165814128 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 = 165814092 and 165814101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165814123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125053 + ... + 126371.

Almost surely, 2^165814128 is an apocalyptic number.

165814128 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 165814128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242614680).

165814128 is an abundant number, since it is smaller than the sum of its proper divisors (319415232).

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

165814128 is a wasteful number, since it uses less digits than its factorization.

165814128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1421 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 165814128 is about 12876.8834738845. The cubic root of 165814128 is about 549.3812634261.

The spelling of 165814128 in words is "one hundred sixty-five million, eight hundred fourteen thousand, one hundred twenty-eight".