128753 has 4 divisors (see below), whose sum is σ = 129600. Its totient is φ = 127908.

The previous prime is 128749. The next prime is 128761. The reversal of 128753 is 357821.

128753 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 357821 = 179 ⋅1999.

It is a cyclic number.

It is not a de Polignac number, because 128753 - 2² = 128749 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2¹²⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

128753 is a deficient number, since it is larger than the sum of its proper divisors (847).

128753 is an equidigital number, since it uses as much as digits as its factorization.

128753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846.

The product of its digits is 1680, while the sum is 26.

The square root of 128753 is about 358.8216827339. The cubic root of 128753 is about 50.4954738943.

Multiplying 128753 by its sum of digits (26), we get a triangular number (3347578 = T₂₅₈₇).

The spelling of 128753 in words is "one hundred twenty-eight thousand, seven hundred fifty-three".