127752139242 has 144 divisors (see below), whose sum is σ = 342825395328. Its totient is φ = 33665224320.

The previous prime is 127752139237. The next prime is 127752139243. The reversal of 127752139242 is 242931257721.

127752139242 is a `hidden beast` number, since 1 + 2 + 77 + 521 + 39 + 24 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (127752139243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47122267 + ... + 47124977.

It is an arithmetic number, because the mean of its divisors is an integer number (2380731912).

Almost surely, 2^127752139242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127752139242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171412697664).

127752139242 is an abundant number, since it is smaller than the sum of its proper divisors (215073256086).

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

127752139242 is a wasteful number, since it uses less digits than its factorization.

127752139242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4949 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 127752139242 in words is "one hundred twenty-seven billion, seven hundred fifty-two million, one hundred thirty-nine thousand, two hundred forty-two".