243135091800 has 480 divisors, whose sum is σ = 855018244080. Its totient is φ = 64030694400.

The previous prime is 243135091799. The next prime is 243135091811. The reversal of 243135091800 is 8190531342.

It is a super-2 number, since 2×243135091800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 829812454 + ... + 829812746.

Almost surely, 2^243135091800 is an apocalyptic number.

243135091800 is a gapful number since it is divisible by the number (20) 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 243135091800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427509122040).

243135091800 is an abundant number, since it is smaller than the sum of its proper divisors (611883152280).

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

243135091800 is a wasteful number, since it uses less digits than its factorization.

243135091800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 243135091800 in words is "two hundred forty-three billion, one hundred thirty-five million, ninety-one thousand, eight hundred".