181126440072 has 48 divisors (see below), whose sum is σ = 492586302780. Its totient is φ = 60124953600.

The previous prime is 181126440023. The next prime is 181126440073. The reversal of 181126440072 is 270044621181.

It is a happy number.

181126440072 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 2 + 644 + 0 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169706098116 + 11420341956 = 411954^2 + 106866^2 .

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

It is not an unprimeable number, because it can be changed into a prime (181126440073) 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 11 ways as a sum of consecutive naturals, for example, 5201829 + ... + 5236532.

Almost surely, 2^181126440072 is an apocalyptic number.

181126440072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

181126440072 is an abundant number, since it is smaller than the sum of its proper divisors (311459862708).

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

181126440072 is a wasteful number, since it uses less digits than its factorization.

181126440072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438614 (or 10438607 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 181126440072 in words is "one hundred eighty-one billion, one hundred twenty-six million, four hundred forty thousand, seventy-two".