127752133617 has 12 divisors (see below), whose sum is σ = 184660192080. Its totient is φ = 85108397208.

The previous prime is 127752133573. The next prime is 127752133643. The reversal of 127752133617 is 716331257721.

127752133617 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 5 + 21 + 3 + 3 + 617 = 666.

It is not a de Polignac number, because 127752133617 - 2²³ = 127743745009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127752133667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4960767 + ... + 4986452.

It is an arithmetic number, because the mean of its divisors is an integer number (15388349340).

Almost surely, 2^127752133617 is an apocalyptic number.

It is an amenable number.

127752133617 is a deficient number, since it is larger than the sum of its proper divisors (56908058463).

127752133617 is a wasteful number, since it uses less digits than its factorization.

127752133617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948652 (or 9948649 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The spelling of 127752133617 in words is "one hundred twenty-seven billion, seven hundred fifty-two million, one hundred thirty-three thousand, six hundred seventeen".