129016800 has 360 divisors, whose sum is σ = 516107592. Its totient is φ = 31104000.

The previous prime is 129016799. The next prime is 129016801. The reversal of 129016800 is 8610921.

It is an interprime number because it is at equal distance from previous prime (129016799) and next prime (129016801).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129016801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 712710 + ... + 712890.

Almost surely, 2^129016800 is an apocalyptic number.

129016800 is a gapful number since it is divisible by the number (10) 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 129016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258053796).

129016800 is an abundant number, since it is smaller than the sum of its proper divisors (387090792).

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

129016800 is a wasteful number, since it uses less digits than its factorization.

129016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 129016800 is about 11358.5562462841. The cubic root of 129016800 is about 505.2993682930.

It can be divided in two parts, 12901 and 6800, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 129016800 in words is "one hundred twenty-nine million, sixteen thousand, eight hundred".