129168216 has 64 divisors (see below), whose sum is σ = 367171200. Its totient is φ = 42051744.

The previous prime is 129168211. The next prime is 129168223. The reversal of 129168216 is 612861921.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129168211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335 + ... + 16241.

It is an arithmetic number, because the mean of its divisors is an integer number (5737050).

Almost surely, 2^129168216 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 129168216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183585600).

129168216 is an abundant number, since it is smaller than the sum of its proper divisors (238002984).

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

129168216 is a wasteful number, since it uses less digits than its factorization.

129168216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965 (or 13955 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 129168216 is about 11365.2195755295. The cubic root of 129168216 is about 505.4969665836.

The spelling of 129168216 in words is "one hundred twenty-nine million, one hundred sixty-eight thousand, two hundred sixteen".