134828028135072 has 144 divisors (see below), whose sum is σ = 383766239525760. Its totient is φ = 44901779366400.

The previous prime is 134828028135029. The next prime is 134828028135077. The reversal of 134828028135072 is 270531820828431.

134828028135072 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 2 + 8 + 0 + 281 + 350 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (134828028135077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755969322 + ... + 1756046102.

It is an arithmetic number, because the mean of its divisors is an integer number (2665043330040).

Almost surely, 2^{134828028135072} is an apocalyptic number.

134828028135072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134828028135072 is an abundant number, since it is smaller than the sum of its proper divisors (248938211390688).

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

134828028135072 is a wasteful number, since it uses less digits than its factorization.

134828028135072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82267 (or 82256 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 134828028135072 in words is "one hundred thirty-four trillion, eight hundred twenty-eight billion, twenty-eight million, one hundred thirty-five thousand, seventy-two".