180145114560 has 560 divisors, whose sum is σ = 661690234656. Its totient is φ = 46679887872.

The previous prime is 180145114559. The next prime is 180145114607. The reversal of 180145114560 is 65411541081.

180145114560 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 451 + 145 + 60 = 666.

180145114560 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 233046334 + ... + 233047106.

Almost surely, 2^180145114560 is an apocalyptic number.

180145114560 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 180145114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330845117328).

180145114560 is an abundant number, since it is smaller than the sum of its proper divisors (481545120096).

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

180145114560 is an frugal number, since it uses more digits than its factorization.

180145114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 180145114560 in words is "one hundred eighty billion, one hundred forty-five million, one hundred fourteen thousand, five hundred sixty".