129085488 has 320 divisors, whose sum is σ = 468541440. Its totient is φ = 33592320.

The previous prime is 129085469. The next prime is 129085543. The reversal of 129085488 is 884580921.

It is a happy number.

129085488 is a `hidden beast` number, since 1 + 2 + 90 + 85 + 488 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4164033 + ... + 4164063.

It is an arithmetic number, because the mean of its divisors is an integer number (1464192).

Almost surely, 2^129085488 is an apocalyptic number.

129085488 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 129085488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234270720).

129085488 is an abundant number, since it is smaller than the sum of its proper divisors (339455952).

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

129085488 is an equidigital number, since it uses as much as digits as its factorization.

129085488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 129085488 is about 11361.5794676621. The cubic root of 129085488 is about 505.3890254678.

The spelling of 129085488 in words is "one hundred twenty-nine million, eighty-five thousand, four hundred eighty-eight".