13732381800 has 144 divisors (see below), whose sum is σ = 46412615340. Its totient is φ = 3638568960.

The previous prime is 13732381759. The next prime is 13732381823. The reversal of 13732381800 is 818323731.

It can be written as a sum of positive squares in 6 ways, for example, as 4276375236 + 9456006564 = 65394^2 + 97242^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 258304 + ... + 306896.

Almost surely, 2^13732381800 is an apocalyptic number.

13732381800 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 13732381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206307670).

13732381800 is an abundant number, since it is smaller than the sum of its proper divisors (32680233540).

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

13732381800 is a wasteful number, since it uses less digits than its factorization.

13732381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48772 (or 48760 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13732381800 in words is "thirteen billion, seven hundred thirty-two million, three hundred eighty-one thousand, eight hundred".