128512 has 20 divisors (see below), whose sum is σ = 257796. Its totient is φ = 64000.

The previous prime is 128509. The next prime is 128519. The reversal of 128512 is 215821.

It is a self number, because there is not a number n which added to its sum of digits gives 128512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 387 + ... + 637.

128512 is a Friedman number, since it can be written as 251*8^(2+1), using all its digits and the basic arithmetic operations.

2¹²⁸⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128898).

128512 is an abundant number, since it is smaller than the sum of its proper divisors (129284).

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

128512 is an frugal number, since it uses more digits than its factorization.

128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

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

The square root of 128512 is about 358.4857040385. The cubic root of 128512 is about 50.4639483893.

It can be divided in two parts, 128 and 512, that multiplied together give a 16-th power (65536 = 2¹⁶).

The spelling of 128512 in words is "one hundred twenty-eight thousand, five hundred twelve".