180142632000 has 672 divisors, whose sum is σ = 662021942400. Its totient is φ = 46744473600.

The previous prime is 180142631969. The next prime is 180142632113. The reversal of 180142632000 is 236241081.

180142632000 is a `hidden beast` number, since 18 + 0 + 14 + 2 + 632 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516167826 + ... + 516168174.

It is an arithmetic number, because the mean of its divisors is an integer number (985151700).

Almost surely, 2^180142632000 is an apocalyptic number.

180142632000 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 180142632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331010971200).

180142632000 is an abundant number, since it is smaller than the sum of its proper divisors (481879310400).

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

180142632000 is a wasteful number, since it uses less digits than its factorization.

180142632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 180142632000 its reverse (236241081), we get a palindrome (180378873081).

The spelling of 180142632000 in words is "one hundred eighty billion, one hundred forty-two million, six hundred thirty-two thousand".