127681152 has 64 divisors (see below), whose sum is σ = 359121600. Its totient is φ = 40054784.

The previous prime is 127681139. The next prime is 127681193. The reversal of 127681152 is 251186721.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3252 + ... + 16307.

It is an arithmetic number, because the mean of its divisors is an integer number (5611275).

Almost surely, 2^127681152 is an apocalyptic number.

127681152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127681152 is an abundant number, since it is smaller than the sum of its proper divisors (231440448).

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

127681152 is a wasteful number, since it uses less digits than its factorization.

127681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19593 (or 19581 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 127681152 is about 11299.6084887929. The cubic root of 127681152 is about 503.5496102355.

It can be divided in two parts, 1276 and 81152, that added together give a palindrome (82428).

The spelling of 127681152 in words is "one hundred twenty-seven million, six hundred eighty-one thousand, one hundred fifty-two".