13731740000 has 120 divisors (see below), whose sum is σ = 36853834248. Its totient is φ = 4993280000.

The previous prime is 13731739997. The next prime is 13731740003. The reversal of 13731740000 is 4713731.

13731740000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13731739997) and next prime (13731740003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731740003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 188792 + ... + 251208.

Almost surely, 2^13731740000 is an apocalyptic number.

13731740000 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 13731740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426917124).

13731740000 is an abundant number, since it is smaller than the sum of its proper divisors (23122094248).

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

13731740000 is an equidigital number, since it uses as much as digits as its factorization.

13731740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62458 (or 62435 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The spelling of 13731740000 in words is "thirteen billion, seven hundred thirty-one million, seven hundred forty thousand".