134544268615680 has 4032 divisors, whose sum is σ = 634362006620160. Its totient is φ = 27021960806400.

The previous prime is 134544268615643. The next prime is 134544268615681. The reversal of 134544268615680 is 86516862445431.

134544268615680 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 4 + 2 + 6 + 8 + 61 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134544268615681) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 166309355116 + ... + 166309355924.

It is an arithmetic number, because the mean of its divisors is an integer number (157331846880).

Almost surely, 2^{134544268615680} is an apocalyptic number.

134544268615680 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 134544268615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317181003310080).

134544268615680 is an abundant number, since it is smaller than the sum of its proper divisors (499817738004480).

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

134544268615680 is an equidigital number, since it uses as much as digits as its factorization.

134544268615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 134544268615680 in words is "one hundred thirty-four trillion, five hundred forty-four billion, two hundred sixty-eight million, six hundred fifteen thousand, six hundred eighty".