127151680 has 56 divisors (see below), whose sum is σ = 304467768. Its totient is φ = 50577408.

The previous prime is 127151671. The next prime is 127151693. The reversal of 127151680 is 86151721.

It can be written as a sum of positive squares in 4 ways, for example, as 69755904 + 57395776 = 8352^2 + 7576^2 .

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 7 ways as a sum of consecutive naturals, for example, 62032 + ... + 64048.

Almost surely, 2^127151680 is an apocalyptic number.

127151680 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 127151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152233884).

127151680 is an abundant number, since it is smaller than the sum of its proper divisors (177316088).

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

127151680 is a wasteful number, since it uses less digits than its factorization.

127151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 127151680 is about 11276.1553731757. The cubic root of 127151680 is about 502.8526010511.

The spelling of 127151680 in words is "one hundred twenty-seven million, one hundred fifty-one thousand, six hundred eighty".