127351040 has 72 divisors (see below), whose sum is σ = 313406520. Its totient is φ = 49545216.

The previous prime is 127351033. The next prime is 127351099. The reversal of 127351040 is 40153721.

It can be written as a sum of positive squares in 4 ways, for example, as 7929856 + 119421184 = 2816^2 + 10928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127350997 and 127351015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46016 + ... + 48704.

Almost surely, 2^127351040 is an apocalyptic number.

127351040 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 127351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156703260).

127351040 is an abundant number, since it is smaller than the sum of its proper divisors (186055480).

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

127351040 is an equidigital number, since it uses as much as digits as its factorization.

127351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 127351040 is about 11284.9918032757. The cubic root of 127351040 is about 503.1152698760.

The spelling of 127351040 in words is "one hundred twenty-seven million, three hundred fifty-one thousand, forty".