181295045990 has 128 divisors (see below), whose sum is σ = 377984517120. Its totient is φ = 62215372800.

The previous prime is 181295045983. The next prime is 181295045993. The reversal of 181295045990 is 99540592181.

It is a happy number.

181295045990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181295045993) 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 63 ways as a sum of consecutive naturals, for example, 6251564 + ... + 6280496.

It is an arithmetic number, because the mean of its divisors is an integer number (2953004040).

Almost surely, 2^181295045990 is an apocalyptic number.

181295045990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181295045990 is an abundant number, since it is smaller than the sum of its proper divisors (196689471130).

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

181295045990 is a wasteful number, since it uses less digits than its factorization.

181295045990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29058.

The product of its (nonzero) digits is 1166400, while the sum is 53.

The spelling of 181295045990 in words is "one hundred eighty-one billion, two hundred ninety-five million, forty-five thousand, nine hundred ninety".