135181800 has 288 divisors, whose sum is σ = 502702200. Its totient is φ = 32348160.

The previous prime is 135181759. The next prime is 135181801. The reversal of 135181800 is 8181531.

It can be written as a sum of positive squares in 12 ways, for example, as 9696996 + 125484804 = 3114^2 + 11202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135181801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1240146 + ... + 1240254.

Almost surely, 2^135181800 is an apocalyptic number.

135181800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135181800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251351100).

135181800 is an abundant number, since it is smaller than the sum of its proper divisors (367520400).

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

135181800 is a wasteful number, since it uses less digits than its factorization.

135181800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 135181800 is about 11626.7708328667. The cubic root of 135181800 is about 513.2229574724. Note that the first 3 decimals are identical.

It can be divided in two parts, 135181 and 800, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135181800 in words is "one hundred thirty-five million, one hundred eighty-one thousand, eight hundred".