13137841147456 has 63 divisors (see below), whose sum is σ = 27254565309531. Its totient is φ = 6282996365184.

The previous prime is 13137841147439. The next prime is 13137841147517. The reversal of 13137841147456 is 65474114873131.

It is a happy number.

The square root of 13137841147456 is 3624616.

It is a perfect power (a square), and thus also a powerful number.

13137841147456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13137841147397 and 13137841147406.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 666919495 + ... + 666939193.

Almost surely, 2^{13137841147456} is an apocalyptic number.

13137841147456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13137841147456 is the 3624616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13137841147456

13137841147456 is an abundant number, since it is smaller than the sum of its proper divisors (14116724162075).

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

13137841147456 is an frugal number, since it uses more digits than its factorization.

13137841147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39456 (or 19724 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 55.

The spelling of 13137841147456 in words is "thirteen trillion, one hundred thirty-seven billion, eight hundred forty-one million, one hundred forty-seven thousand, four hundred fifty-six".