127266281536 has 63 divisors (see below), whose sum is σ = 266648998959. Its totient is φ = 60258342528.

The previous prime is 127266281509. The next prime is 127266281557. The reversal of 127266281536 is 635182662721.

The square root of 127266281536 is 356744.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127266281536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54223915 + ... + 54226261.

It is an arithmetic number, because the mean of its divisors is an integer number (4232523793).

Almost surely, 2^127266281536 is an apocalyptic number.

127266281536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127266281536 is the 356744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127266281536

127266281536 is an abundant number, since it is smaller than the sum of its proper divisors (139382717423).

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

127266281536 is an frugal number, since it uses more digits than its factorization.

127266281536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 2368 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 127266281536 by its sum of digits (49), we get a square (6236047795264 = 2497208²).

The spelling of 127266281536 in words is "one hundred twenty-seven billion, two hundred sixty-six million, two hundred eighty-one thousand, five hundred thirty-six".