134315151101568 has 256 divisors, whose sum is σ = 409240675123200. Its totient is φ = 43323570662400.

The previous prime is 134315151101563. The next prime is 134315151101591. The reversal of 134315151101568 is 865101151513431.

134315151101568 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 515 + 110 + 15 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (134315151101563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1339471273 + ... + 1339571543.

It is an arithmetic number, because the mean of its divisors is an integer number (1598596387200).

Almost surely, 2^{134315151101568} is an apocalyptic number.

134315151101568 is a gapful number since it is divisible by the number (18) 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 134315151101568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204620337561600).

134315151101568 is an abundant number, since it is smaller than the sum of its proper divisors (274925524021632).

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

134315151101568 is a wasteful number, since it uses less digits than its factorization.

134315151101568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112828 (or 112810 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 134315151101568 in words is "one hundred thirty-four trillion, three hundred fifteen billion, one hundred fifty-one million, one hundred one thousand, five hundred sixty-eight".