181725120000 has 1400 divisors, whose sum is σ = 733543909560. Its totient is φ = 44789760000.

The previous prime is 181725119993. The next prime is 181725120001. The reversal of 181725120000 is 21527181.

181725120000 is a `hidden beast` number, since 1 + 81 + 72 + 512 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181725120001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 4432319980 + ... + 4432320020.

Almost surely, 2^181725120000 is an apocalyptic number.

181725120000 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 181725120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366771954780).

181725120000 is an abundant number, since it is smaller than the sum of its proper divisors (551818789560).

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

181725120000 is an frugal number, since it uses more digits than its factorization.

181725120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 181725120000 its reverse (21527181), we get a palindrome (181746647181).

The spelling of 181725120000 in words is "one hundred eighty-one billion, seven hundred twenty-five million, one hundred twenty thousand".