127134180 has 36 divisors (see below), whose sum is σ = 385640892. Its totient is φ = 33902400.

The previous prime is 127134167. The next prime is 127134181. The reversal of 127134180 is 81431721.

It can be written as a sum of positive squares in 2 ways, for example, as 80676324 + 46457856 = 8982^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (127134181) 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, 352971 + ... + 353330.

It is an arithmetic number, because the mean of its divisors is an integer number (10712247).

Almost surely, 2^127134180 is an apocalyptic number.

127134180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127134180 is an abundant number, since it is smaller than the sum of its proper divisors (258506712).

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

127134180 is a wasteful number, since it uses less digits than its factorization.

127134180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706316 (or 706311 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 127134180 is about 11275.3793727750. The cubic root of 127134180 is about 502.8295306408.

The spelling of 127134180 in words is "one hundred twenty-seven million, one hundred thirty-four thousand, one hundred eighty".