13739237820 has 1440 divisors, whose sum is σ = 62291496960. Its totient is φ = 2463436800.

The previous prime is 13739237807. The next prime is 13739237843. The reversal of 13739237820 is 2873293731.

13739237820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 443201205 + ... + 443201235.

It is an arithmetic number, because the mean of its divisors is an integer number (43257984).

Almost surely, 2^13739237820 is an apocalyptic number.

13739237820 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 13739237820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31145748480).

13739237820 is an abundant number, since it is smaller than the sum of its proper divisors (48552259140).

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

13739237820 is a wasteful number, since it uses less digits than its factorization.

13739237820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13739237820 in words is "thirteen billion, seven hundred thirty-nine million, two hundred thirty-seven thousand, eight hundred twenty".