127713456 has 80 divisors (see below), whose sum is σ = 394801120. Its totient is φ = 39294720.

The previous prime is 127713449. The next prime is 127713473. The reversal of 127713456 is 654317721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 127713456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5755 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (4935014).

Almost surely, 2^127713456 is an apocalyptic number.

127713456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127713456 is an abundant number, since it is smaller than the sum of its proper divisors (267087664).

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

127713456 is a wasteful number, since it uses less digits than its factorization.

127713456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22771 (or 22759 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 127713456 is about 11301.0378284474. The cubic root of 127713456 is about 503.5920735506.

The spelling of 127713456 in words is "one hundred twenty-seven million, seven hundred thirteen thousand, four hundred fifty-six".