134666678784 has 160 divisors (see below), whose sum is σ = 411974703360. Its totient is φ = 38660198400.

The previous prime is 134666678677. The next prime is 134666678833. The reversal of 134666678784 is 487876666431.

It is a super-4 number, since 4×134666678784⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111279 + ... + 530769.

It is an arithmetic number, because the mean of its divisors is an integer number (2574841896).

Almost surely, 2^134666678784 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 134666678784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205987351680).

134666678784 is an abundant number, since it is smaller than the sum of its proper divisors (277308024576).

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

134666678784 is a wasteful number, since it uses less digits than its factorization.

134666678784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419542 (or 419526 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

It can be divided in two parts, 134666 and 678784, that added together give a triangular number (813450 = T₁₂₇₅).

The spelling of 134666678784 in words is "one hundred thirty-four billion, six hundred sixty-six million, six hundred seventy-eight thousand, seven hundred eighty-four".