129146868 has 54 divisors (see below), whose sum is σ = 337415442. Its totient is φ = 41649120.

The previous prime is 129146861. The next prime is 129146873. The reversal of 129146868 is 868641921.

129146868 is a `hidden beast` number, since 129 + 1 + 468 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112402404 + 16744464 = 10602^2 + 4092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129146861) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32730 + ... + 36462.

Almost surely, 2^129146868 is an apocalyptic number.

129146868 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 129146868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168707721).

129146868 is an abundant number, since it is smaller than the sum of its proper divisors (208268574).

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

129146868 is a wasteful number, since it uses less digits than its factorization.

129146868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3769 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 129146868 is about 11364.2803555703. The cubic root of 129146868 is about 505.4691167401.

The spelling of 129146868 in words is "one hundred twenty-nine million, one hundred forty-six thousand, eight hundred sixty-eight".