134605253512320 has 384 divisors, whose sum is σ = 455886697737600. Its totient is φ = 33775174287360.

The previous prime is 134605253512313. The next prime is 134605253512343. The reversal of 134605253512320 is 23215352506431.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2507475880 + ... + 2507529560.

It is an arithmetic number, because the mean of its divisors is an integer number (1187204942025).

Almost surely, 2^{134605253512320} is an apocalyptic number.

134605253512320 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 134605253512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227943348868800).

134605253512320 is an abundant number, since it is smaller than the sum of its proper divisors (321281444225280).

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

134605253512320 is a wasteful number, since it uses less digits than its factorization.

134605253512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58256 (or 58227 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 134605253512320 in words is "one hundred thirty-four trillion, six hundred five billion, two hundred fifty-three million, five hundred twelve thousand, three hundred twenty".