180132738687360 has 384 divisors, whose sum is σ = 643526094556800. Its totient is φ = 46374950780928.

The previous prime is 180132738687301. The next prime is 180132738687373. The reversal of 180132738687360 is 63786837231081.

180132738687360 is a `hidden beast` number, since 1 + 80 + 132 + 7 + 3 + 8 + 68 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2226101622 + ... + 2226182538.

It is an arithmetic number, because the mean of its divisors is an integer number (1675849204575).

Almost surely, 2^{180132738687360} is an apocalyptic number.

180132738687360 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 180132738687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321763047278400).

180132738687360 is an abundant number, since it is smaller than the sum of its proper divisors (463393355869440).

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

180132738687360 is a wasteful number, since it uses less digits than its factorization.

180132738687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94298 (or 94283 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 180132738687360 in words is "one hundred eighty trillion, one hundred thirty-two billion, seven hundred thirty-eight million, six hundred eighty-seven thousand, three hundred sixty".