181351872000 has 1680 divisors, whose sum is σ = 766095172128. Its totient is φ = 42699571200.

The previous prime is 181351871971. The next prime is 181351872001. The reversal of 181351872000 is 278153181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181351872001) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 7884863989 + ... + 7884864011.

Almost surely, 2^181351872000 is an apocalyptic number.

181351872000 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 181351872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383047586064).

181351872000 is an abundant number, since it is smaller than the sum of its proper divisors (584743300128).

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

181351872000 is an frugal number, since it uses more digits than its factorization.

181351872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 181351872000 in words is "one hundred eighty-one billion, three hundred fifty-one million, eight hundred seventy-two thousand".