129840048 has 120 divisors (see below), whose sum is σ = 400672272. Its totient is φ = 38997504.

The previous prime is 129840013. The next prime is 129840077. The reversal of 129840048 is 840048921.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 129839994 and 129840021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79690 + ... + 81302.

Almost surely, 2^129840048 is an apocalyptic number.

129840048 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 129840048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200336136).

129840048 is an abundant number, since it is smaller than the sum of its proper divisors (270832224).

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

129840048 is a wasteful number, since it uses less digits than its factorization.

129840048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 129840048 is about 11394.7377328309. The cubic root of 129840048 is about 506.3718514186.

Adding to 129840048 its reverse (840048921), we get a palindrome (969888969).

The spelling of 129840048 in words is "one hundred twenty-nine million, eight hundred forty thousand, forty-eight".