54127072145 has 16 divisors (see below), whose sum is σ = 65134575360. Its totient is φ = 43180438464.

The previous prime is 54127072079. The next prime is 54127072163.

It is a happy number.

54127072145 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 54127072145 - 2¹⁴ = 54127055761 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54127072099 and 54127072108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2671724 + ... + 2691906.

It is an arithmetic number, because the mean of its divisors is an integer number (4070910960).

Almost surely, 2^54127072145 is an apocalyptic number.

It is an amenable number.

54127072145 is a deficient number, since it is larger than the sum of its proper divisors (11007503215).

54127072145 is a wasteful number, since it uses less digits than its factorization.

54127072145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21664.

The product of its (nonzero) digits is 78400, while the sum is 38.

The spelling of 54127072145 in words is "fifty-four billion, one hundred twenty-seven million, seventy-two thousand, one hundred forty-five".