129813840 has 400 divisors, whose sum is σ = 514217088. Its totient is φ = 30108672.

The previous prime is 129813829. The next prime is 129813841. The reversal of 129813840 is 48318921.

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 = 129813795 and 129813804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129813841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1937487 + ... + 1937553.

Almost surely, 2^129813840 is an apocalyptic number.

129813840 is a gapful number since it is divisible by the number (10) 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 129813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257108544).

129813840 is an abundant number, since it is smaller than the sum of its proper divisors (384403248).

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

129813840 is a wasteful number, since it uses less digits than its factorization.

129813840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 129813840 is about 11393.5876702644. The cubic root of 129813840 is about 506.3377790177.

The spelling of 129813840 in words is "one hundred twenty-nine million, eight hundred thirteen thousand, eight hundred forty".