165616128 has 120 divisors (see below), whose sum is σ = 483445248. Its totient is φ = 54577152.

The previous prime is 165616081. The next prime is 165616147. The reversal of 165616128 is 821616561.

165616128 is a `hidden beast` number, since 16 + 5 + 616 + 1 + 28 = 666.

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 = 165616092 and 165616101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585075 + ... + 585357.

Almost surely, 2^165616128 is an apocalyptic number.

165616128 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 165616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241722624).

165616128 is an abundant number, since it is smaller than the sum of its proper divisors (317829120).

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

165616128 is a wasteful number, since it uses less digits than its factorization.

165616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 165616128 is about 12869.1929816908. The cubic root of 165616128 is about 549.1625027821.

The spelling of 165616128 in words is "one hundred sixty-five million, six hundred sixteen thousand, one hundred twenty-eight".