127591152 has 80 divisors (see below), whose sum is σ = 359956128. Its totient is φ = 38707200.

The previous prime is 127591129. The next prime is 127591153. The reversal of 127591152 is 251195721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127591153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44152 + ... + 46952.

Almost surely, 2^127591152 is an apocalyptic number.

127591152 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 127591152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179978064).

127591152 is an abundant number, since it is smaller than the sum of its proper divisors (232364976).

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

127591152 is a wasteful number, since it uses less digits than its factorization.

127591152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2892 counting only the distinct ones).

The product of its digits is 6300, while the sum is 33.

The square root of 127591152 is about 11295.6253478946. The cubic root of 127591152 is about 503.4312682650.

The spelling of 127591152 in words is "one hundred twenty-seven million, five hundred ninety-one thousand, one hundred fifty-two".