127132080 has 160 divisors (see below), whose sum is σ = 410640384. Its totient is φ = 32514048.

The previous prime is 127132051. The next prime is 127132081. The reversal of 127132080 is 80231721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 127132080.

It is not an unprimeable number, because it can be changed into a prime (127132081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000977 + ... + 1001103.

Almost surely, 2^127132080 is an apocalyptic number.

127132080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205320192).

127132080 is an abundant number, since it is smaller than the sum of its proper divisors (283508304).

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

127132080 is a wasteful number, since it uses less digits than its factorization.

127132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 127132080 is about 11275.2862491380. The cubic root of 127132080 is about 502.8267620493.

The spelling of 127132080 in words is "one hundred twenty-seven million, one hundred thirty-two thousand, eighty".