134771624064 has 1024 divisors, whose sum is σ = 542586470400. Its totient is φ = 31883673600.

The previous prime is 134771624041. The next prime is 134771624069. The reversal of 134771624064 is 460426177431.

134771624064 is a `hidden beast` number, since 1 + 347 + 7 + 1 + 6 + 240 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (134771624069) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4347471729 + ... + 4347471759.

It is an arithmetic number, because the mean of its divisors is an integer number (529869600).

Almost surely, 2^134771624064 is an apocalyptic number.

134771624064 is a gapful number since it is divisible by the number (14) 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 134771624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271293235200).

134771624064 is an abundant number, since it is smaller than the sum of its proper divisors (407814846336).

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

134771624064 is an equidigital number, since it uses as much as digits as its factorization.

134771624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 134771624064 in words is "one hundred thirty-four billion, seven hundred seventy-one million, six hundred twenty-four thousand, sixty-four".