129492 has 48 divisors (see below), whose sum is σ = 369600. Its totient is φ = 38880.

The previous prime is 129491. The next prime is 129497. The reversal of 129492 is 294921.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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

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 129492.

It is not an unprimeable number, because it can be changed into a prime (129491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1134 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (7700).

2¹²⁹⁴⁹² is an apocalyptic number.

129492 is a gapful number since it is divisible by the number (12) 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 129492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184800).

129492 is an abundant number, since it is smaller than the sum of its proper divisors (240108).

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

129492 is a wasteful number, since it uses less digits than its factorization.

129492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 129492 is about 359.8499687370. The cubic root of 129492 is about 50.5918988004.

The spelling of 129492 in words is "one hundred twenty-nine thousand, four hundred ninety-two".