180142560 has 144 divisors (see below), whose sum is σ = 662092704. Its totient is φ = 44338176.

The previous prime is 180142537. The next prime is 180142597. The reversal of 180142560 is 65241081.

180142560 is a `hidden beast` number, since 180 + 1 + 425 + 60 = 666.

180142560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13909 + ... + 23531.

It is an arithmetic number, because the mean of its divisors is an integer number (4597866).

Almost surely, 2^180142560 is an apocalyptic number.

180142560 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 180142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331046352).

180142560 is an abundant number, since it is smaller than the sum of its proper divisors (481950144).

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

180142560 is a wasteful number, since it uses less digits than its factorization.

180142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 180142560 is about 13421.7197109759. The cubic root of 180142560 is about 564.7706381010.

The spelling of 180142560 in words is "one hundred eighty million, one hundred forty-two thousand, five hundred sixty".