127775520 has 144 divisors (see below), whose sum is σ = 441375480. Its totient is φ = 33656832.

The previous prime is 127775509. The next prime is 127775573. The reversal of 127775520 is 25577721.

127775520 is a `hidden beast` number, since 127 + 7 + 7 + 5 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105760656 + 22014864 = 10284^2 + 4692^2 .

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

It is a super-2 number, since 2×127775520² = 32653167022540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 127662 + ... + 128658.

Almost surely, 2^127775520 is an apocalyptic number.

127775520 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 127775520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220687740).

127775520 is an abundant number, since it is smaller than the sum of its proper divisors (313599960).

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

127775520 is a wasteful number, since it uses less digits than its factorization.

127775520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 127775520 is about 11303.7834374160. The cubic root of 127775520 is about 503.6736360261.

The spelling of 127775520 in words is "one hundred twenty-seven million, seven hundred seventy-five thousand, five hundred twenty".