127713641652 has 384 divisors, whose sum is σ = 371914260480. Its totient is φ = 37717954560.

The previous prime is 127713641641. The next prime is 127713641701. The reversal of 127713641652 is 256146317721.

127713641652 is a `hidden beast` number, since 1 + 277 + 1 + 364 + 16 + 5 + 2 = 666.

127713641652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (423360) is a multiple of the sum of its prime divisors (540).

It is a junction number, because it is equal to n+sod(n) for n = 127713641598 and 127713641607.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 408030648 + ... + 408030960.

It is an arithmetic number, because the mean of its divisors is an integer number (968526720).

Almost surely, 2^127713641652 is an apocalyptic number.

127713641652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127713641652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185957130240).

127713641652 is an abundant number, since it is smaller than the sum of its proper divisors (244200618828).

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

127713641652 is a wasteful number, since it uses less digits than its factorization.

127713641652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

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

The spelling of 127713641652 in words is "one hundred twenty-seven billion, seven hundred thirteen million, six hundred forty-one thousand, six hundred fifty-two".