127144560 has 80 divisors (see below), whose sum is σ = 400081536. Its totient is φ = 33394944.

The previous prime is 127144553. The next prime is 127144571. The reversal of 127144560 is 65441721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12127 + ... + 20033.

Almost surely, 2^127144560 is an apocalyptic number.

127144560 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 127144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200040768).

127144560 is an abundant number, since it is smaller than the sum of its proper divisors (272936976).

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

127144560 is a wasteful number, since it uses less digits than its factorization.

127144560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 127144560 is about 11275.8396583137. The cubic root of 127144560 is about 502.8432149453.

The spelling of 127144560 in words is "one hundred twenty-seven million, one hundred forty-four thousand, five hundred sixty".