127737744761 has 48 divisors (see below), whose sum is σ = 145167614592. Its totient is φ = 112251363840.

The previous prime is 127737744749. The next prime is 127737744763. The reversal of 127737744761 is 167447737721.

It is not a de Polignac number, because 127737744761 - 2¹⁰ = 127737743737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127737744697 and 127737744706.

It is not an unprimeable number, because it can be changed into a prime (127737744763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379043585 + ... + 379043921.

It is an arithmetic number, because the mean of its divisors is an integer number (3024325304).

Almost surely, 2^127737744761 is an apocalyptic number.

127737744761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127737744761 is a deficient number, since it is larger than the sum of its proper divisors (17429869831).

127737744761 is a wasteful number, since it uses less digits than its factorization.

127737744761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 931 counting only the distinct ones).

The product of its digits is 9680832, while the sum is 56.

The spelling of 127737744761 in words is "one hundred twenty-seven billion, seven hundred thirty-seven million, seven hundred forty-four thousand, seven hundred sixty-one".