134313564444192 has 1440 divisors, whose sum is σ = 479612327040000. Its totient is φ = 36100199439360.

The previous prime is 134313564444181. The next prime is 134313564444197. The reversal of 134313564444192 is 291444465313431.

134313564444192 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 3 + 5 + 6 + 4 + 444 + 192 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134313564444197) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 269165459559 + ... + 269165460057.

It is an arithmetic number, because the mean of its divisors is an integer number (333064116000).

Almost surely, 2^{134313564444192} is an apocalyptic number.

134313564444192 is a gapful number since it is divisible by the number (12) 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 134313564444192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239806163520000).

134313564444192 is an abundant number, since it is smaller than the sum of its proper divisors (345298762595808).

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

134313564444192 is a wasteful number, since it uses less digits than its factorization.

134313564444192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 944 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 134313564444192 in words is "one hundred thirty-four trillion, three hundred thirteen billion, five hundred sixty-four million, four hundred forty-four thousand, one hundred ninety-two".