180129820 has 48 divisors (see below), whose sum is σ = 408542400. Its totient is φ = 66318336.

The previous prime is 180129787. The next prime is 180129821. The reversal of 180129820 is 28921081.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180129821) 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, 115969 + ... + 117511.

It is an arithmetic number, because the mean of its divisors is an integer number (8511300).

Almost surely, 2^180129820 is an apocalyptic number.

180129820 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 180129820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204271200).

180129820 is an abundant number, since it is smaller than the sum of its proper divisors (228412580).

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

180129820 is a wasteful number, since it uses less digits than its factorization.

180129820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 180129820 is about 13421.2450987231. The cubic root of 180129820 is about 564.7573239282.

The spelling of 180129820 in words is "one hundred eighty million, one hundred twenty-nine thousand, eight hundred twenty".