129761408 has 96 divisors (see below), whose sum is σ = 318665340. Its totient is φ = 52297728.

The previous prime is 129761383. The next prime is 129761419. The reversal of 129761408 is 804167921.

It can be written as a sum of positive squares in 2 ways, for example, as 129231424 + 529984 = 11368^2 + 728^2 .

It is a super-2 number, since 2×129761408² = 33676046012284928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106016 + ... + 107232.

Almost surely, 2^129761408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159332670).

129761408 is an abundant number, since it is smaller than the sum of its proper divisors (188903932).

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

129761408 is a wasteful number, since it uses less digits than its factorization.

129761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 129761408 is about 11391.2864945097. The cubic root of 129761408 is about 506.2695996476.

The spelling of 129761408 in words is "one hundred twenty-nine million, seven hundred sixty-one thousand, four hundred eight".