128125 has 12 divisors (see below), whose sum is σ = 164052. Its totient is φ = 100000.

The previous prime is 128119. The next prime is 128147. The reversal of 128125 is 521821.

128125 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 6 ways, for example, as 125316 + 2809 = 354^2 + 53^2 .

It is not a de Polignac number, because 128125 - 2⁷ = 127997 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

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, 3105 + ... + 3145.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2¹²⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

128125 is a deficient number, since it is larger than the sum of its proper divisors (35927).

128125 is an frugal number, since it uses more digits than its factorization.

128125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its digits is 160, while the sum is 19.

The square root of 128125 is about 357.9455265819. The cubic root of 128125 is about 50.4132418805.

Adding to 128125 its reverse (521821), we get a palindrome (649946).

It can be divided in two parts, 128 and 125, that added together give a triangular number (253 = T₂₂).

The spelling of 128125 in words is "one hundred twenty-eight thousand, one hundred twenty-five".