129127040 has 256 divisors, whose sum is σ = 390700800. Its totient is φ = 39813120.

The previous prime is 129127039. The next prime is 129127043. The reversal of 129127040 is 40721921.

129127040 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129127043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3149420 + ... + 3149460.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^129127040 is an apocalyptic number.

129127040 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 129127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

129127040 is an abundant number, since it is smaller than the sum of its proper divisors (261573760).

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

129127040 is a wasteful number, since it uses less digits than its factorization.

129127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 129127040 is about 11363.4079395224. The cubic root of 129127040 is about 505.4432470855.

Adding to 129127040 its reverse (40721921), we get a palindrome (169848961).

The spelling of 129127040 in words is "one hundred twenty-nine million, one hundred twenty-seven thousand, forty".