129000456 has 96 divisors (see below), whose sum is σ = 378356160. Its totient is φ = 39470976.

The previous prime is 129000449. The next prime is 129000493. The reversal of 129000456 is 654000921.

It is a super-2 number, since 2×129000456² = 33282235296415872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264645 + ... + 265131.

It is an arithmetic number, because the mean of its divisors is an integer number (3941210).

Almost surely, 2^129000456 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 129000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189178080).

129000456 is an abundant number, since it is smaller than the sum of its proper divisors (249355704).

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

129000456 is a wasteful number, since it uses less digits than its factorization.

129000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 129000456 is about 11357.8367658635. The cubic root of 129000456 is about 505.2780300858.

The spelling of 129000456 in words is "one hundred twenty-nine million, four hundred fifty-six", and thus it is an aban number.