127311520 has 96 divisors (see below), whose sum is σ = 348800256. Its totient is φ = 43008000.

The previous prime is 127311511. The next prime is 127311539. The reversal of 127311520 is 25113721.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 127311491 and 127311500.

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, 78720 + ... + 80320.

It is an arithmetic number, because the mean of its divisors is an integer number (3633336).

Almost surely, 2^127311520 is an apocalyptic number.

127311520 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 127311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174400128).

127311520 is an abundant number, since it is smaller than the sum of its proper divisors (221488736).

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

127311520 is a wasteful number, since it uses less digits than its factorization.

127311520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 127311520 is about 11283.2406692404. The cubic root of 127311520 is about 503.0632216882.

The spelling of 127311520 in words is "one hundred twenty-seven million, three hundred eleven thousand, five hundred twenty".