129532338 has 64 divisors (see below), whose sum is σ = 318433920. Its totient is φ = 38771136.

The previous prime is 129532331. The next prime is 129532339. The reversal of 129532338 is 833235921.

129532338 is a `hidden beast` number, since 1 + 295 + 32 + 338 = 666.

It is not an unprimeable number, because it can be changed into a prime (129532331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23481 + ... + 28467.

It is an arithmetic number, because the mean of its divisors is an integer number (4975530).

Almost surely, 2^129532338 is an apocalyptic number.

129532338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129532338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159216960).

129532338 is an abundant number, since it is smaller than the sum of its proper divisors (188901582).

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

129532338 is a wasteful number, since it uses less digits than its factorization.

129532338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5042 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 129532338 is about 11381.2274381984. The cubic root of 129532338 is about 505.9715154228.

It can be divided in two parts, 1295 and 32338, that added together give a palindrome (33633).

The spelling of 129532338 in words is "one hundred twenty-nine million, five hundred thirty-two thousand, three hundred thirty-eight".