134005048128 has 672 divisors, whose sum is σ = 471481221120. Its totient is φ = 35582976000.

The previous prime is 134005048057. The next prime is 134005048129. The reversal of 134005048128 is 821840500431.

134005048128 is a `hidden beast` number, since 13 + 40 + 0 + 504 + 81 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134005048092 and 134005048101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134005048129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404848923 + ... + 404849253.

It is an arithmetic number, because the mean of its divisors is an integer number (701608960).

Almost surely, 2^134005048128 is an apocalyptic number.

134005048128 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 134005048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235740610560).

134005048128 is an abundant number, since it is smaller than the sum of its proper divisors (337476172992).

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

134005048128 is a wasteful number, since it uses less digits than its factorization.

134005048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 134005048128 its reverse (821840500431), we get a palindrome (955845548559).

The spelling of 134005048128 in words is "one hundred thirty-four billion, five million, forty-eight thousand, one hundred twenty-eight".