128535 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 57600.

The previous prime is 128521. The next prime is 128549. The reversal of 128535 is 535821.

128535 = T₃₉ + T₄₀ + ... + T₉₃.

It is an interprime number because it is at equal distance from previous prime (128521) and next prime (128549).

It is not a de Polignac number, because 128535 - 2⁴ = 128519 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3115 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹²⁸⁵³⁵ is an apocalyptic number.

128535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128535 is a deficient number, since it is larger than the sum of its proper divisors (113385).

128535 is a wasteful number, since it uses less digits than its factorization.

128535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79.

The product of its digits is 1200, while the sum is 24.

The square root of 128535 is about 358.5177819858. The cubic root of 128535 is about 50.4669587478.

The spelling of 128535 in words is "one hundred twenty-eight thousand, five hundred thirty-five".