134369494414128 has 200 divisors, whose sum is σ = 399054957285600. Its totient is φ = 43624435645440.

The previous prime is 134369494414097. The next prime is 134369494414157. The reversal of 134369494414128 is 821414494963431.

It is a happy number.

134369494414128 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 6 + 9 + 4 + 94 + 414 + 128 = 666.

It is a super-2 number, since 2×134369494414128² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29717626 + ... + 33939302.

It is an arithmetic number, because the mean of its divisors is an integer number (1995274786428).

Almost surely, 2^{134369494414128} is an apocalyptic number.

134369494414128 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 134369494414128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199527478642800).

134369494414128 is an abundant number, since it is smaller than the sum of its proper divisors (264685462871472).

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

134369494414128 is a wasteful number, since it uses less digits than its factorization.

134369494414128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222337 (or 4222322 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 134369494414128 in words is "one hundred thirty-four trillion, three hundred sixty-nine billion, four hundred ninety-four million, four hundred fourteen thousand, one hundred twenty-eight".