181009525225140 has 192 divisors, whose sum is σ = 564978462048000. Its totient is φ = 48111859699200.

The previous prime is 181009525225121. The next prime is 181009525225141. The reversal of 181009525225140 is 41522525900181.

181009525225140 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 0 + 95 + 25 + 22 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181009525225141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304500126 + ... + 305093994.

It is an arithmetic number, because the mean of its divisors is an integer number (2942596156500).

Almost surely, 2^{181009525225140} is an apocalyptic number.

181009525225140 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 181009525225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282489231024000).

181009525225140 is an abundant number, since it is smaller than the sum of its proper divisors (383968936822860).

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

181009525225140 is a wasteful number, since it uses less digits than its factorization.

181009525225140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595727 (or 595719 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 181009525225140 in words is "one hundred eighty-one trillion, nine billion, five hundred twenty-five million, two hundred twenty-five thousand, one hundred forty".