134361012456 has 192 divisors, whose sum is σ = 423642286080. Its totient is φ = 38018211840.

The previous prime is 134361012437. The next prime is 134361012481. The reversal of 134361012456 is 654210163431.

134361012456 is a `hidden beast` number, since 1 + 34 + 3 + 610 + 1 + 2 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134361012456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1670640 + ... + 1749216.

It is an arithmetic number, because the mean of its divisors is an integer number (2206470240).

Almost surely, 2^134361012456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134361012456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211821143040).

134361012456 is an abundant number, since it is smaller than the sum of its proper divisors (289281273624).

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

134361012456 is a wasteful number, since it uses less digits than its factorization.

134361012456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78744 (or 78737 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 134361012456 its reverse (654210163431), we get a palindrome (788571175887).

The spelling of 134361012456 in words is "one hundred thirty-four billion, three hundred sixty-one million, twelve thousand, four hundred fifty-six".