127832152 has 64 divisors (see below), whose sum is σ = 290016000. Its totient is φ = 51601536.

The previous prime is 127832147. The next prime is 127832179. The reversal of 127832152 is 251238721.

It is a super-2 number, since 2×127832152² = 32682118169902208, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 337099 + ... + 337477.

It is an arithmetic number, because the mean of its divisors is an integer number (4531500).

Almost surely, 2^127832152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127832152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145008000).

127832152 is an abundant number, since it is smaller than the sum of its proper divisors (162183848).

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

127832152 is a wasteful number, since it uses less digits than its factorization.

127832152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 724 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 127832152 is about 11306.2881619035. The cubic root of 127832152 is about 503.7480369033.

It can be divided in two parts, 127832 and 152, that multiplied together give a square (19430464 = 4408²).

The spelling of 127832152 in words is "one hundred twenty-seven million, eight hundred thirty-two thousand, one hundred fifty-two".