13142734937856 has 216 divisors, whose sum is σ = 40175056041120. Its totient is φ = 4117839740928.

The previous prime is 13142734937831. The next prime is 13142734937861. The reversal of 13142734937856 is 65873943724131.

13142734937856 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 73 + 493 + 78 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13142734937793 and 13142734937802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29902021 + ... + 30338363.

It is an arithmetic number, because the mean of its divisors is an integer number (185995629820).

Almost surely, 2^{13142734937856} is an apocalyptic number.

13142734937856 is a gapful number since it is divisible by the number (16) 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 13142734937856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20087528020560).

13142734937856 is an abundant number, since it is smaller than the sum of its proper divisors (27032321103264).

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

13142734937856 is a wasteful number, since it uses less digits than its factorization.

13142734937856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437151 (or 437134 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 13142734937856 in words is "thirteen trillion, one hundred forty-two billion, seven hundred thirty-four million, nine hundred thirty-seven thousand, eight hundred fifty-six".