127105757000 has 32 divisors (see below), whose sum is σ = 297427473720. Its totient is φ = 50842302400.

The previous prime is 127105756963. The next prime is 127105757011. The reversal of 127105757000 is 757501721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35101521316 + 92004235684 = 187354^2 + 303322^2 .

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, 63551879 + ... + 63553878.

Almost surely, 2^127105757000 is an apocalyptic number.

127105757000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127105757000 is an abundant number, since it is smaller than the sum of its proper divisors (170321716720).

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

127105757000 is a wasteful number, since it uses less digits than its factorization.

127105757000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127105778 (or 127105764 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 35.

The spelling of 127105757000 in words is "one hundred twenty-seven billion, one hundred five million, seven hundred fifty-seven thousand".