129442896 has 360 divisors, whose sum is σ = 463095360. Its totient is φ = 33454080.

The previous prime is 129442871. The next prime is 129442903. The reversal of 129442896 is 698244921.

129442896 is a `hidden beast` number, since 129 + 442 + 89 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5627941 + ... + 5627963.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^129442896 is an apocalyptic number.

129442896 is a gapful number since it is divisible by the number (16) 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 129442896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

129442896 is an abundant number, since it is smaller than the sum of its proper divisors (333652464).

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

129442896 is a wasteful number, since it uses less digits than its factorization.

129442896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 129442896 is about 11377.2973943727. The cubic root of 129442896 is about 505.8550309341.

The spelling of 129442896 in words is "one hundred twenty-nine million, four hundred forty-two thousand, eight hundred ninety-six".