134016464736 has 960 divisors, whose sum is σ = 526901760000. Its totient is φ = 32364334080.

The previous prime is 134016464707. The next prime is 134016464761. The reversal of 134016464736 is 637464610431.

134016464736 is a `hidden beast` number, since 13 + 4 + 0 + 164 + 6 + 473 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134016464691 and 134016464700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 223733365 + ... + 223733963.

It is an arithmetic number, because the mean of its divisors is an integer number (548856000).

Almost surely, 2^134016464736 is an apocalyptic number.

134016464736 is a gapful number since it is divisible by the number (16) 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 134016464736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880000).

134016464736 is an abundant number, since it is smaller than the sum of its proper divisors (392885295264).

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

134016464736 is a wasteful number, since it uses less digits than its factorization.

134016464736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 134016464736 in words is "one hundred thirty-four billion, sixteen million, four hundred sixty-four thousand, seven hundred thirty-six".