134967338011584 has 672 divisors, whose sum is σ = 443277910333440. Its totient is φ = 38895276294144.

The previous prime is 134967338011553. The next prime is 134967338011607. The reversal of 134967338011584 is 485110833769431.

134967338011584 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 6 + 7 + 3 + 38 + 0 + 11 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23900712249 + ... + 23900717895.

It is an arithmetic number, because the mean of its divisors is an integer number (659639747520).

Almost surely, 2^{134967338011584} 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 134967338011584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221638955166720).

134967338011584 is an abundant number, since it is smaller than the sum of its proper divisors (308310572321856).

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

134967338011584 is a wasteful number, since it uses less digits than its factorization.

134967338011584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 134967338011584 in words is "one hundred thirty-four trillion, nine hundred sixty-seven billion, three hundred thirty-eight million, eleven thousand, five hundred eighty-four".