13743700000 has 72 divisors (see below), whose sum is σ = 33820468164. Its totient is φ = 5497440000.

The previous prime is 13743699967. The next prime is 13743700007. The reversal of 13743700000 is 734731.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 203119504 + 13540580496 = 14252^2 + 116364^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13743700007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31282 + ... + 168718.

Almost surely, 2^13743700000 is an apocalyptic number.

13743700000 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 13743700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16910234082).

13743700000 is an abundant number, since it is smaller than the sum of its proper divisors (20076768164).

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

13743700000 is an frugal number, since it uses more digits than its factorization.

13743700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137472 (or 137444 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The spelling of 13743700000 in words is "thirteen billion, seven hundred forty-three million, seven hundred thousand".