129135168 has 56 divisors (see below), whose sum is σ = 379638560. Its totient is φ = 43044480.

The previous prime is 129135137. The next prime is 129135187. The reversal of 129135168 is 861531921.

129135168 is a `hidden beast` number, since 129 + 13 + 516 + 8 = 666.

It is a super-2 number, since 2×129135168² = 33351783228776448, which contains 22 as substring.

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

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35638 + ... + 39093.

It is an arithmetic number, because the mean of its divisors is an integer number (6779260).

Almost surely, 2^129135168 is an apocalyptic number.

129135168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129135168 is an abundant number, since it is smaller than the sum of its proper divisors (250503392).

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

129135168 is an equidigital number, since it uses as much as digits as its factorization.

129135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74752 (or 74736 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 129135168 is about 11363.7655730836. The cubic root of 129135168 is about 505.4538520332.

It can be divided in two parts, 12913 and 5168, that added together give a palindrome (18081).

The spelling of 129135168 in words is "one hundred twenty-nine million, one hundred thirty-five thousand, one hundred sixty-eight".