127419013764 has 135 divisors (see below), whose sum is σ = 387618717717. Its totient is φ = 36392582016.

The previous prime is 127419013681. The next prime is 127419013781. The reversal of 127419013764 is 467310914721.

It is a happy number.

The square root of 127419013764 is 356958.

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

127419013764 is a `hidden beast` number, since 1 + 274 + 1 + 9 + 0 + 1 + 376 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50019322500 + 77399691264 = 223650^2 + 278208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44975292 + ... + 44978124.

Almost surely, 2^127419013764 is an apocalyptic number.

127419013764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

127419013764 is the 356958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127419013764

127419013764 is an abundant number, since it is smaller than the sum of its proper divisors (260199703953).

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

127419013764 is an frugal number, since it uses more digits than its factorization.

127419013764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 127419013764 in words is "one hundred twenty-seven billion, four hundred nineteen million, thirteen thousand, seven hundred sixty-four".