127142680 has 64 divisors (see below), whose sum is σ = 344160000. Its totient is φ = 41295744.

The previous prime is 127142671. The next prime is 127142747. The reversal of 127142680 is 86241721.

It is a super-2 number, since 2×127142680² = 32330522155164800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6630 + ... + 17269.

It is an arithmetic number, because the mean of its divisors is an integer number (5377500).

Almost surely, 2^127142680 is an apocalyptic number.

127142680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127142680 is an abundant number, since it is smaller than the sum of its proper divisors (217017320).

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

127142680 is a wasteful number, since it uses less digits than its factorization.

127142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23936 (or 23932 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 127142680 is about 11275.7562939255. The cubic root of 127142680 is about 502.8407365331.

The spelling of 127142680 in words is "one hundred twenty-seven million, one hundred forty-two thousand, six hundred eighty".