127413720 has 288 divisors, whose sum is σ = 499374720. Its totient is φ = 28062720.

The previous prime is 127413719. The next prime is 127413731. The reversal of 127413720 is 27314721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546724 + ... + 546956.

It is an arithmetic number, because the mean of its divisors is an integer number (1733940).

Almost surely, 2^127413720 is an apocalyptic number.

127413720 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 127413720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249687360).

127413720 is an abundant number, since it is smaller than the sum of its proper divisors (371961000).

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

127413720 is a wasteful number, since it uses less digits than its factorization.

127413720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 127413720 is about 11287.7686014553. The cubic root of 127413720 is about 503.1977979099.

It can be divided in two parts, 12741 and 3720, that added together give a palindrome (16461).

The spelling of 127413720 in words is "one hundred twenty-seven million, four hundred thirteen thousand, seven hundred twenty".