128164 has 9 divisors (see below), whose sum is σ = 225547. Its totient is φ = 63724.

The previous prime is 128159. The next prime is 128173. The reversal of 128164 is 461821.

128164 = T_{357} + T_{358}.

The square root of 128164 is 358.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 627 + ... + 805.

128164 is a Friedman number, since it can be written as (6+11*8*4)^2, using all its digits and the basic arithmetic operations.

2^{128164} is an apocalyptic number.

128164 is the 358-th square number.

It is an amenable number.

128164 is a deficient number, since it is larger than the sum of its proper divisors (97383).

128164 is an equidigital number, since it uses as much as digits as its factorization.

128164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The cubic root of 128164 is about 50.4183564612.

Adding to 128164 its reverse (461821), we get a palindrome (589985).

It can be divided in two parts, 128 and 164, that added together give a palindrome (292).

The spelling of 128164 in words is "one hundred twenty-eight thousand, one hundred sixty-four".

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