134694214018560 has 5120 divisors, whose sum is σ = 615819785011200. Its totient is φ = 27234297446400.

The previous prime is 134694214018547. The next prime is 134694214018607. The reversal of 134694214018560 is 65810412496431.

134694214018560 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 9 + 4 + 21 + 40 + 18 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 134694214018497 and 134694214018506.

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 511 ways as a sum of consecutive naturals, for example, 1258824430027 + ... + 1258824430133.

It is an arithmetic number, because the mean of its divisors is an integer number (120277301760).

Almost surely, 2^{134694214018560} is an apocalyptic number.

134694214018560 is a gapful number since it is divisible by the number (10) 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 134694214018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307909892505600).

134694214018560 is an abundant number, since it is smaller than the sum of its proper divisors (481125570992640).

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

134694214018560 is a wasteful number, since it uses less digits than its factorization.

134694214018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 134694214018560 in words is "one hundred thirty-four trillion, six hundred ninety-four billion, two hundred fourteen million, eighteen thousand, five hundred sixty".