127345461320 has 128 divisors (see below), whose sum is σ = 361243411200. Its totient is φ = 39246028800.

The previous prime is 127345461311. The next prime is 127345461349. The reversal of 127345461320 is 23164543721.

It is a super-2 number, since 2×127345461320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41840 + ... + 506400.

It is an arithmetic number, because the mean of its divisors is an integer number (2822214150).

Almost surely, 2^127345461320 is an apocalyptic number.

127345461320 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 127345461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180621705600).

127345461320 is an abundant number, since it is smaller than the sum of its proper divisors (233897949880).

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

127345461320 is a wasteful number, since it uses less digits than its factorization.

127345461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464679 (or 464675 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 127345461320 in words is "one hundred twenty-seven billion, three hundred forty-five million, four hundred sixty-one thousand, three hundred twenty".