127734141437721 has 32 divisors (see below), whose sum is σ = 232905557041920. Its totient is φ = 67376250427392.

The previous prime is 127734141437701. The next prime is 127734141437891.

127734141437721 is a `hidden beast` number, since 1 + 2 + 77 + 34 + 1 + 41 + 437 + 72 + 1 = 666.

127734141437721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 127734141437721 - 2⁵ = 127734141437689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127734141437701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25993921320 + ... + 25993926233.

It is an arithmetic number, because the mean of its divisors is an integer number (7278298657560).

Almost surely, 2^{127734141437721} is an apocalyptic number.

It is an amenable number.

127734141437721 is a deficient number, since it is larger than the sum of its proper divisors (105171415604199).

127734141437721 is a wasteful number, since it uses less digits than its factorization.

127734141437721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51987847582 (or 51987847576 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 127734141437721 in words is "one hundred twenty-seven trillion, seven hundred thirty-four billion, one hundred forty-one million, four hundred thirty-seven thousand, seven hundred twenty-one".