129765888 has 240 divisors, whose sum is σ = 446846400. Its totient is φ = 36827136.

The previous prime is 129765863. The next prime is 129765893. The reversal of 129765888 is 888567921.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1935360) is a multiple of the sum of its prime factors (189).

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, 870838 + ... + 870986.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^129765888 is an apocalyptic number.

129765888 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 129765888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

129765888 is an abundant number, since it is smaller than the sum of its proper divisors (317080512).

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

129765888 is an frugal number, since it uses more digits than its factorization.

129765888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 129765888 is about 11391.4831343421. The cubic root of 129765888 is about 506.2754258835.

The spelling of 129765888 in words is "one hundred twenty-nine million, seven hundred sixty-five thousand, eight hundred eighty-eight".