127354842 has 56 divisors (see below), whose sum is σ = 289325844. Its totient is φ = 42021504.

The previous prime is 127354831. The next prime is 127354847. The reversal of 127354842 is 248453721.

It is a happy number.

127354842 is a `hidden beast` number, since 1 + 2 + 73 + 548 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87778161 + 39576681 = 9369^2 + 6291^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127354797 and 127354806.

It is not an unprimeable number, because it can be changed into a prime (127354847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 164368 + ... + 165140.

Almost surely, 2^127354842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127354842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144662922).

127354842 is an abundant number, since it is smaller than the sum of its proper divisors (161971002).

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

127354842 is an equidigital number, since it uses as much as digits as its factorization.

127354842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 127354842 is about 11285.1602558404. The cubic root of 127354842 is about 503.1202765756.

The spelling of 127354842 in words is "one hundred twenty-seven million, three hundred fifty-four thousand, eight hundred forty-two".