127152149056 has 105 divisors (see below), whose sum is σ = 266352640141. Its totient is φ = 60225611264.

The previous prime is 127152149039. The next prime is 127152149071. The reversal of 127152149056 is 650941251721.

The square root of 127152149056 is 356584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 30067560000 + 97084589056 = 173400^2 + 311584^2 .

It is a super-2 number, since 2×127152149056² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2399097126 + ... + 2399097178.

Almost surely, 2^127152149056 is an apocalyptic number.

127152149056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127152149056 is the 356584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127152149056

127152149056 is an abundant number, since it is smaller than the sum of its proper divisors (139200491085).

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

127152149056 is an frugal number, since it uses more digits than its factorization.

127152149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 127152149056 in words is "one hundred twenty-seven billion, one hundred fifty-two million, one hundred forty-nine thousand, fifty-six".