181057140090 has 24 divisors (see below), whose sum is σ = 470748564468. Its totient is φ = 48281904000.

The previous prime is 181057140079. The next prime is 181057140091. The reversal of 181057140090 is 90041750181.

181057140090 is a `hidden beast` number, since 1 + 81 + 0 + 571 + 4 + 0 + 0 + 9 + 0 = 666.

181057140090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 175034293641 + 6022846449 = 418371^2 + 77607^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (181057140091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005872911 + ... + 1005873090.

Almost surely, 2^181057140090 is an apocalyptic number.

181057140090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181057140090 is an abundant number, since it is smaller than the sum of its proper divisors (289691424378).

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

181057140090 is a wasteful number, since it uses less digits than its factorization.

181057140090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011746014 (or 2011746011 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 181057140090 in words is "one hundred eighty-one billion, fifty-seven million, one hundred forty thousand, ninety".