127637540 has 48 divisors (see below), whose sum is σ = 279035904. Its totient is φ = 48988800.

The previous prime is 127637537. The next prime is 127637569. The reversal of 127637540 is 45736721.

It is a self number, because there is not a number n which added to its sum of digits gives 127637540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77930 + ... + 79550.

It is an arithmetic number, because the mean of its divisors is an integer number (5813248).

Almost surely, 2^127637540 is an apocalyptic number.

127637540 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 127637540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139517952).

127637540 is an abundant number, since it is smaller than the sum of its proper divisors (151398364).

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

127637540 is a wasteful number, since it uses less digits than its factorization.

127637540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 127637540 is about 11297.6785225992. The cubic root of 127637540 is about 503.4922712936.

The spelling of 127637540 in words is "one hundred twenty-seven million, six hundred thirty-seven thousand, five hundred forty".