127835371076 has 144 divisors (see below), whose sum is σ = 284096937600. Its totient is φ = 50024443392.

The previous prime is 127835371063. The next prime is 127835371093. The reversal of 127835371076 is 670173538721.

It is a super-4 number, since 4×127835371076⁴ (a number of 46 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11629655 + ... + 11640641.

It is an arithmetic number, because the mean of its divisors is an integer number (1972895400).

Almost surely, 2^127835371076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127835371076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142048468800).

127835371076 is an abundant number, since it is smaller than the sum of its proper divisors (156261566524).

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

127835371076 is a wasteful number, since it uses less digits than its factorization.

127835371076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11146 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 127835371076 in words is "one hundred twenty-seven billion, eight hundred thirty-five million, three hundred seventy-one thousand, seventy-six".