127742674651260 has 24 divisors (see below), whose sum is σ = 357679489023696. Its totient is φ = 34064713240320.

The previous prime is 127742674651259. The next prime is 127742674651297. The reversal of 127742674651260 is 62156476247721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 2129044577521 = 127742674651260 / (1 + 2 + 7 + 7 + 4 + 2 + 6 + 7 + 4 + 6 + 5 + 1 + 2 + 6 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 127742674651194 and 127742674651203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064522288701 + ... + 1064522288820.

It is an arithmetic number, because the mean of its divisors is an integer number (14903312042654).

Almost surely, 2^{127742674651260} is an apocalyptic number.

127742674651260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127742674651260 is an abundant number, since it is smaller than the sum of its proper divisors (229936814372436).

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

127742674651260 is a wasteful number, since it uses less digits than its factorization.

127742674651260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129044577533 (or 2129044577531 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 127742674651260 in words is "one hundred twenty-seven trillion, seven hundred forty-two billion, six hundred seventy-four million, six hundred fifty-one thousand, two hundred sixty".