127905120 has 144 divisors (see below), whose sum is σ = 498869280. Its totient is φ = 29233152.

The previous prime is 127905119. The next prime is 127905137. The reversal of 127905120 is 21509721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3736 + ... + 16424.

It is an arithmetic number, because the mean of its divisors is an integer number (3464370).

Almost surely, 2^127905120 is an apocalyptic number.

127905120 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 127905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249434640).

127905120 is an abundant number, since it is smaller than the sum of its proper divisors (370964160).

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

127905120 is a wasteful number, since it uses less digits than its factorization.

127905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12717 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 127905120 is about 11309.5145784423. The cubic root of 127905120 is about 503.8438669808.

The spelling of 127905120 in words is "one hundred twenty-seven million, nine hundred five thousand, one hundred twenty".