129258288 has 60 divisors (see below), whose sum is σ = 371698680. Its totient is φ = 43007328.

The previous prime is 129258277. The next prime is 129258317. The reversal of 129258288 is 882852921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236031 + ... + 236577.

It is an arithmetic number, because the mean of its divisors is an integer number (6194978).

Almost surely, 2^129258288 is an apocalyptic number.

129258288 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 129258288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185849340).

129258288 is an abundant number, since it is smaller than the sum of its proper divisors (242440392).

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

129258288 is an frugal number, since it uses more digits than its factorization.

129258288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 552 counting only the distinct ones).

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

The square root of 129258288 is about 11369.1815008821. The cubic root of 129258288 is about 505.6144375451.

The spelling of 129258288 in words is "one hundred twenty-nine million, two hundred fifty-eight thousand, two hundred eighty-eight".