181365256900 has 81 divisors (see below), whose sum is σ = 404838644007. Its totient is φ = 70524072000.

The previous prime is 181365256889. The next prime is 181365256951. The reversal of 181365256900 is 9652563181.

The square root of 181365256900 is 425870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17217113796 + 164148143104 = 131214^2 + 405152^2 .

It is a super-2 number, since 2×181365256900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 157571325 + ... + 157572475.

Almost surely, 2^181365256900 is an apocalyptic number.

181365256900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181365256900 is the 425870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181365256900

181365256900 is an abundant number, since it is smaller than the sum of its proper divisors (223473387107).

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

181365256900 is an equidigital number, since it uses as much as digits as its factorization.

181365256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 181365256900 in words is "one hundred eighty-one billion, three hundred sixty-five million, two hundred fifty-six thousand, nine hundred".