129888 has 72 divisors (see below), whose sum is σ = 412776. Its totient is φ = 38400.

The previous prime is 129887. The next prime is 129893. The reversal of 129888 is 888921.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 129888.

It is not an unprimeable number, because it can be changed into a prime (129887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3148 + ... + 3188.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

129888 is a Friedman number, since it can be written as 198*82*8, using all its digits and the basic arithmetic operations.

2¹²⁹⁸⁸⁸ is an apocalyptic number.

129888 is a gapful number since it is divisible by the number (18) 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 129888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

129888 is an abundant number, since it is smaller than the sum of its proper divisors (282888).

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

129888 is a wasteful number, since it uses less digits than its factorization.

129888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 129888 is about 360.3997780243. The cubic root of 129888 is about 50.6434180812.

It can be divided in two parts, 12988 and 8, that added together give a square (12996 = 114²).

The spelling of 129888 in words is "one hundred twenty-nine thousand, eight hundred eighty-eight".