129536 has 40 divisors (see below), whose sum is σ = 294624. Its totient is φ = 56320.

The previous prime is 129533. The next prime is 129539. The reversal of 129536 is 635921.

129536 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (129533) and next prime (129539).

Its product of digits (1620) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (129533) 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 in 3 ways as a sum of consecutive naturals, for example, 5621 + ... + 5643.

2¹²⁹⁵³⁶ is an apocalyptic number.

129536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312).

129536 is an abundant number, since it is smaller than the sum of its proper divisors (165088).

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

129536 is an equidigital number, since it uses as much as digits as its factorization.

129536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 129536 is about 359.9111001345. The cubic root of 129536 is about 50.5976283473.

It can be divided in two parts, 1295 and 36, that added together give a palindrome (1331).

The spelling of 129536 in words is "one hundred twenty-nine thousand, five hundred thirty-six".