13731840 has 144 divisors (see below), whose sum is σ = 47911500. Its totient is φ = 3637248.

The previous prime is 13731829. The next prime is 13731863. The reversal of 13731840 is 4813731.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 1115136 = 3552^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92086 + ... + 92234.

Almost surely, 2^13731840 is an apocalyptic number.

13731840 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 13731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23955750).

13731840 is an abundant number, since it is smaller than the sum of its proper divisors (34179660).

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

13731840 is a wasteful number, since it uses less digits than its factorization.

13731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13731840 is about 3705.6497405988. The cubic root of 13731840 is about 239.4654770723.

The spelling of 13731840 in words is "thirteen million, seven hundred thirty-one thousand, eight hundred forty".