127988731152 has 400 divisors, whose sum is σ = 407430619200. Its totient is φ = 38642365440.

The previous prime is 127988731127. The next prime is 127988731153. The reversal of 127988731152 is 251137889721.

127988731152 is a `hidden beast` number, since 1 + 279 + 8 + 8 + 7 + 311 + 52 = 666.

It is a super-2 number, since 2×127988731152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127988731153) 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 79 ways as a sum of consecutive naturals, for example, 53753002 + ... + 53755382.

It is an arithmetic number, because the mean of its divisors is an integer number (1018576548).

Almost surely, 2^127988731152 is an apocalyptic number.

127988731152 is a gapful number since it is divisible by the number (12) 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 127988731152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203715309600).

127988731152 is an abundant number, since it is smaller than the sum of its proper divisors (279441888048).

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

127988731152 is a wasteful number, since it uses less digits than its factorization.

127988731152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2501 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 127988731152 in words is "one hundred twenty-seven billion, nine hundred eighty-eight million, seven hundred thirty-one thousand, one hundred fifty-two".