180129096 has 288 divisors, whose sum is σ = 617460480. Its totient is φ = 48988800.

The previous prime is 180129091. The next prime is 180129109. The reversal of 180129096 is 690921081.

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

It is a self number, because there is not a number n which added to its sum of digits gives 180129096.

It is not an unprimeable number, because it can be changed into a prime (180129091) 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 71 ways as a sum of consecutive naturals, for example, 2952906 + ... + 2952966.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2^180129096 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 180129096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308730240).

180129096 is an abundant number, since it is smaller than the sum of its proper divisors (437331384).

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

180129096 is a wasteful number, since it uses less digits than its factorization.

180129096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 180129096 is about 13421.2181265338. The cubic root of 180129096 is about 564.7565672797.

The spelling of 180129096 in words is "one hundred eighty million, one hundred twenty-nine thousand, ninety-six".