187981332000 has 768 divisors, whose sum is σ = 774143225856. Its totient is φ = 38737920000.

The previous prime is 187981331983. The next prime is 187981332001. The reversal of 187981332000 is 233189781.

187981332000 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 (42).

It is not an unprimeable number, because it can be changed into a prime (187981332001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 121043224 + ... + 121044776.

It is an arithmetic number, because the mean of its divisors is an integer number (1007998992).

Almost surely, 2^187981332000 is an apocalyptic number.

187981332000 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 187981332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387071612928).

187981332000 is an abundant number, since it is smaller than the sum of its proper divisors (586161893856).

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

187981332000 is a wasteful number, since it uses less digits than its factorization.

187981332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 187981332000 in words is "one hundred eighty-seven billion, nine hundred eighty-one million, three hundred thirty-two thousand".