127155456 has 108 divisors (see below), whose sum is σ = 369749380. Its totient is φ = 42024960.

The previous prime is 127155451. The next prime is 127155463. The reversal of 127155456 is 654551721.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 18662400 = 10416^2 + 4320^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 127155456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127155451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527496 + ... + 527736.

Almost surely, 2^127155456 is an apocalyptic number.

127155456 is a gapful number since it is divisible by the number (16) 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 127155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184874690).

127155456 is an abundant number, since it is smaller than the sum of its proper divisors (242593924).

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

127155456 is a wasteful number, since it uses less digits than its factorization.

127155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 127155456 is about 11276.3228048864. The cubic root of 127155456 is about 502.8575787088.

The spelling of 127155456 in words is "one hundred twenty-seven million, one hundred fifty-five thousand, four hundred fifty-six".