13732378220 has 96 divisors (see below), whose sum is σ = 32518112256. Its totient is φ = 4828160000.

The previous prime is 13732378159. The next prime is 13732378259. The reversal of 13732378220 is 2287323731.

13732378220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 18785734035 it forms a betrothed pair.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850220 + ... + 866220.

It is an arithmetic number, because the mean of its divisors is an integer number (338730336).

Almost surely, 2^13732378220 is an apocalyptic number.

13732378220 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 13732378220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259056128).

13732378220 is an abundant number, since it is smaller than the sum of its proper divisors (18785734036).

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

13732378220 is a wasteful number, since it uses less digits than its factorization.

13732378220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16151 (or 16149 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 13732378220 in words is "thirteen billion, seven hundred thirty-two million, three hundred seventy-eight thousand, two hundred twenty".