134191188464256 has 1728 divisors, whose sum is σ = 513830235260160. Its totient is φ = 33205668249600.

The previous prime is 134191188464233. The next prime is 134191188464297. The reversal of 134191188464256 is 652464881191431.

134191188464256 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 9 + 118 + 8 + 464 + 2 + 56 = 666.

It is a super-2 number, since 2×134191188464256² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 134191188464193 and 134191188464202.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 86407718776 + ... + 86407720328.

It is an arithmetic number, because the mean of its divisors is an integer number (297355460220).

Almost surely, 2^{134191188464256} is an apocalyptic number.

134191188464256 is a gapful number since it is divisible by the number (16) 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 134191188464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256915117630080).

134191188464256 is an abundant number, since it is smaller than the sum of its proper divisors (379639046795904).

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

134191188464256 is a wasteful number, since it uses less digits than its factorization.

134191188464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1674 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 134191188464256 in words is "one hundred thirty-four trillion, one hundred ninety-one billion, one hundred eighty-eight million, four hundred sixty-four thousand, two hundred fifty-six".