134329688064 has 896 divisors, whose sum is σ = 486174044160. Its totient is φ = 36097228800.

The previous prime is 134329688047. The next prime is 134329688081. The reversal of 134329688064 is 460886923431.

134329688064 is a `hidden beast` number, since 1 + 343 + 296 + 8 + 8 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (134329688047) and next prime (134329688081).

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

It is a self number, because there is not a number n which added to its sum of digits gives 134329688064.

It is a congruent number.

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, 980508604 + ... + 980508740.

It is an arithmetic number, because the mean of its divisors is an integer number (542604960).

Almost surely, 2^134329688064 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 134329688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243087022080).

134329688064 is an abundant number, since it is smaller than the sum of its proper divisors (351844356096).

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

134329688064 is a wasteful number, since it uses less digits than its factorization.

134329688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 134329688064 in words is "one hundred thirty-four billion, three hundred twenty-nine million, six hundred eighty-eight thousand, sixty-four".