181406900 has 18 divisors (see below), whose sum is σ = 393653190. Its totient is φ = 72562720.

The previous prime is 181406899. The next prime is 181406909. The reversal of 181406900 is 9604181.

It can be written as a sum of positive squares in 3 ways, for example, as 28686736 + 152720164 = 5356^2 + 12358^2 .

It is a super-2 number, since 2×181406900² = 65816926735220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181406909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 906935 + ... + 907134.

Almost surely, 2^181406900 is an apocalyptic number.

181406900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181406900 is an abundant number, since it is smaller than the sum of its proper divisors (212246290).

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

181406900 is a wasteful number, since it uses less digits than its factorization.

181406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814083 (or 1814076 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 181406900 is about 13468.7378770247. The cubic root of 181406900 is about 566.0888496910.

The spelling of 181406900 in words is "one hundred eighty-one million, four hundred six thousand, nine hundred".