134664112687104 has 3840 divisors, whose sum is σ = 563293612627200. Its totient is φ = 31317531033600.

The previous prime is 134664112687087. The next prime is 134664112687123. The reversal of 134664112687104 is 401786211466431.

134664112687104 is a `hidden beast` number, since 1 + 3 + 4 + 66 + 411 + 2 + 68 + 7 + 104 = 666.

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 778405275562 + ... + 778405275734.

It is an arithmetic number, because the mean of its divisors is an integer number (146691044955).

Almost surely, 2^{134664112687104} is an apocalyptic number.

134664112687104 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 134664112687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281646806313600).

134664112687104 is an abundant number, since it is smaller than the sum of its proper divisors (428629499940096).

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

134664112687104 is a wasteful number, since it uses less digits than its factorization.

134664112687104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 134664112687104 in words is "one hundred thirty-four trillion, six hundred sixty-four billion, one hundred twelve million, six hundred eighty-seven thousand, one hundred four".