180107520 has 288 divisors, whose sum is σ = 635765760. Its totient is φ = 43253760.

The previous prime is 180107519. The next prime is 180107531. The reversal of 180107520 is 25701081.

180107520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023636 + ... + 2023724.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 2^180107520 is an apocalyptic number.

180107520 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 180107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317882880).

180107520 is an abundant number, since it is smaller than the sum of its proper divisors (455658240).

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

180107520 is a wasteful number, since it uses less digits than its factorization.

180107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 180107520 is about 13420.4143006094. The cubic root of 180107520 is about 564.7340173891.

The spelling of 180107520 in words is "one hundred eighty million, one hundred seven thousand, five hundred twenty".