165952128 has 32 divisors (see below), whose sum is σ = 440811360. Its totient is φ = 55317248.

The previous prime is 165952121. The next prime is 165952151. The reversal of 165952128 is 821259561.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (165952121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215700 + ... + 216467.

It is an arithmetic number, because the mean of its divisors is an integer number (13775355).

Almost surely, 2^165952128 is an apocalyptic number.

It is an amenable number.

165952128 is an abundant number, since it is smaller than the sum of its proper divisors (274859232).

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

165952128 is an equidigital number, since it uses as much as digits as its factorization.

165952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432184 (or 432172 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 165952128 is about 12882.2407988673. The cubic root of 165952128 is about 549.5336299998.

The spelling of 165952128 in words is "one hundred sixty-five million, nine hundred fifty-two thousand, one hundred twenty-eight".