129027456 has 96 divisors (see below), whose sum is σ = 383373120. Its totient is φ = 41610240.

The previous prime is 129027419. The next prime is 129027463. The reversal of 129027456 is 654720921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 129027456.

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, 33906 + ... + 37518.

It is an arithmetic number, because the mean of its divisors is an integer number (3993470).

Almost surely, 2^129027456 is an apocalyptic number.

129027456 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 129027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191686560).

129027456 is an abundant number, since it is smaller than the sum of its proper divisors (254345664).

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

129027456 is a wasteful number, since it uses less digits than its factorization.

129027456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 129027456 is about 11359.0253102984. The cubic root of 129027456 is about 505.3132794577.

The spelling of 129027456 in words is "one hundred twenty-nine million, twenty-seven thousand, four hundred fifty-six".