13739145840 has 240 divisors, whose sum is σ = 52832564928. Its totient is φ = 3134398464.

The previous prime is 13739145811. The next prime is 13739145859. The reversal of 13739145840 is 4854193731.

13739145840 is a `hidden beast` number, since 1 + 3 + 73 + 91 + 458 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2986422 + ... + 2991018.

Almost surely, 2^13739145840 is an apocalyptic number.

13739145840 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 13739145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26416282464).

13739145840 is an abundant number, since it is smaller than the sum of its proper divisors (39093419088).

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

13739145840 is a wasteful number, since it uses less digits than its factorization.

13739145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13739145840 in words is "thirteen billion, seven hundred thirty-nine million, one hundred forty-five thousand, eight hundred forty".