134301960531648 has 1344 divisors, whose sum is σ = 483546359296000. Its totient is φ = 34907365269504.

The previous prime is 134301960531617. The next prime is 134301960531691. The reversal of 134301960531648 is 846135069103431.

134301960531648 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 1 + 9 + 60 + 531 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 134301960531594 and 134301960531603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 354358734723 + ... + 354358735101.

Almost surely, 2^{134301960531648} is an apocalyptic number.

134301960531648 is a gapful number since it is divisible by the number (18) 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 134301960531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241773179648000).

134301960531648 is an abundant number, since it is smaller than the sum of its proper divisors (349244398764352).

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

134301960531648 is a wasteful number, since it uses less digits than its factorization.

134301960531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 134301960531648 in words is "one hundred thirty-four trillion, three hundred one billion, nine hundred sixty million, five hundred thirty-one thousand, six hundred forty-eight".