127387152 has 60 divisors (see below), whose sum is σ = 366157740. Its totient is φ = 41313024.

The previous prime is 127387147. The next prime is 127387163. The reversal of 127387152 is 251783721.

127387152 is a `hidden beast` number, since 127 + 387 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 68956416 = 7644^2 + 8304^2 .

It is a super-2 number, since 2×127387152² = 32454972989342208, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6627 + ... + 17282.

It is an arithmetic number, because the mean of its divisors is an integer number (6102629).

Almost surely, 2^127387152 is an apocalyptic number.

127387152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127387152 is an abundant number, since it is smaller than the sum of its proper divisors (238770588).

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

127387152 is a wasteful number, since it uses less digits than its factorization.

127387152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23960 (or 23951 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 127387152 is about 11286.5916910288. The cubic root of 127387152 is about 503.1628202836.

The spelling of 127387152 in words is "one hundred twenty-seven million, three hundred eighty-seven thousand, one hundred fifty-two".