181142800 has 30 divisors (see below), whose sum is σ = 435196538. Its totient is φ = 72456960.

The previous prime is 181142791. The next prime is 181142851. The reversal of 181142800 is 8241181.

It can be written as a sum of positive squares in 3 ways, for example, as 10265616 + 170877184 = 3204^2 + 13072^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226029 + ... + 226828.

Almost surely, 2^181142800 is an apocalyptic number.

181142800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181142800 is an abundant number, since it is smaller than the sum of its proper divisors (254053738).

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

181142800 is a wasteful number, since it uses less digits than its factorization.

181142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452875 (or 452864 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 181142800 is about 13458.9301209271. The cubic root of 181142800 is about 565.8140040715.

Adding to 181142800 its reverse (8241181), we get a palindrome (189383981).

The spelling of 181142800 in words is "one hundred eighty-one million, one hundred forty-two thousand, eight hundred".