129456 has 60 divisors (see below), whose sum is σ = 386880. Its totient is φ = 40320.

The previous prime is 129449. The next prime is 129457. The reversal of 129456 is 654921.

129456 = 49² + 50² + ... + 79².

129456 is nontrivially palindromic in base 11.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (129457) by changing a digit.

129456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4161 + ... + 4191.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

2¹²⁹⁴⁵⁶ is an apocalyptic number.

129456 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 129456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

129456 is an abundant number, since it is smaller than the sum of its proper divisors (257424).

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

129456 is a wasteful number, since it uses less digits than its factorization.

129456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 129456 is about 359.7999444136. The cubic root of 129456 is about 50.5872100239.

It can be divided in two parts, 129 and 456, that added together give a palindrome (585).

The spelling of 129456 in words is "one hundred twenty-nine thousand, four hundred fifty-six".