134345060064 has 216 divisors, whose sum is σ = 422877454272. Its totient is φ = 40314193920.

The previous prime is 134345059993. The next prime is 134345060077. The reversal of 134345060064 is 460060543431.

134345060064 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 45 + 0 + 600 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2564049 + ... + 2615919.

It is an arithmetic number, because the mean of its divisors is an integer number (1957765992).

Almost surely, 2^134345060064 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 134345060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211438727136).

134345060064 is an abundant number, since it is smaller than the sum of its proper divisors (288532394208).

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

134345060064 is a wasteful number, since it uses less digits than its factorization.

134345060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51950 (or 51916 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 134345060064 in words is "one hundred thirty-four billion, three hundred forty-five million, sixty thousand, sixty-four".