134786314656 has 384 divisors, whose sum is σ = 461187417600. Its totient is φ = 37972758528.

The previous prime is 134786314639. The next prime is 134786314661. The reversal of 134786314656 is 656413687431.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35759940 + ... + 35763708.

It is an arithmetic number, because the mean of its divisors is an integer number (1201008900).

Almost surely, 2^134786314656 is an apocalyptic number.

134786314656 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 134786314656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230593708800).

134786314656 is an abundant number, since it is smaller than the sum of its proper divisors (326401102944).

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

134786314656 is an frugal number, since it uses more digits than its factorization.

134786314656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3854 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 134786314656 in words is "one hundred thirty-four billion, seven hundred eighty-six million, three hundred fourteen thousand, six hundred fifty-six".