127113540 has 48 divisors (see below), whose sum is σ = 356431488. Its totient is φ = 33848064.

The previous prime is 127113533. The next prime is 127113541. The reversal of 127113540 is 45311721.

127113540 is a nontrivial binomial coefficient, being equal to C(15945, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 127113540.

It is not an unprimeable number, because it can be changed into a prime (127113541) by changing a digit.

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, 62784 + ... + 64776.

It is an arithmetic number, because the mean of its divisors is an integer number (7425656).

Almost surely, 2^127113540 is an apocalyptic number.

127113540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127113540 is the 15944-th triangular number.

It is an amenable number.

127113540 is an abundant number, since it is smaller than the sum of its proper divisors (229317948).

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

127113540 is a wasteful number, since it uses less digits than its factorization.

127113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 127113540 is about 11274.4640670854. The cubic root of 127113540 is about 502.8023180187.

The spelling of 127113540 in words is "one hundred twenty-seven million, one hundred thirteen thousand, five hundred forty".