129591168 has 128 divisors (see below), whose sum is σ = 404344320. Its totient is φ = 35997696.

The previous prime is 129591157. The next prime is 129591179. The reversal of 129591168 is 861195921.

It is an interprime number because it is at equal distance from previous prime (129591157) and next prime (129591179).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98805 + ... + 100107.

It is an arithmetic number, because the mean of its divisors is an integer number (3158940).

Almost surely, 2^129591168 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 129591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202172160).

129591168 is an abundant number, since it is smaller than the sum of its proper divisors (274753152).

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

129591168 is a wasteful number, since it uses less digits than its factorization.

129591168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 129591168 is about 11383.8116639375. The cubic root of 129591168 is about 506.0481032451.

The spelling of 129591168 in words is "one hundred twenty-nine million, five hundred ninety-one thousand, one hundred sixty-eight".