129064 has 32 divisors (see below), whose sum is σ = 279720. Its totient is φ = 55296.

The previous prime is 129061. The next prime is 129083. The reversal of 129064 is 460921.

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 20164 = 330^2 + 142^2 .

It is not an unprimeable number, because it can be changed into a prime (129061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1732 + ... + 1804.

2¹²⁹⁰⁶⁴ 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 129064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139860).

129064 is an abundant number, since it is smaller than the sum of its proper divisors (150656).

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

129064 is a wasteful number, since it uses less digits than its factorization.

129064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 129064 is about 359.2547842409. The cubic root of 129064 is about 50.5360980999.

Adding to 129064 its reverse (460921), we get a palindrome (589985).

The spelling of 129064 in words is "one hundred twenty-nine thousand, sixty-four".