127825152 has 288 divisors, whose sum is σ = 439541760. Its totient is φ = 32071680.

The previous prime is 127825151. The next prime is 127825169. The reversal of 127825152 is 251528721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127825151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2166499 + ... + 2166557.

Almost surely, 2^127825152 is an apocalyptic number.

127825152 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 127825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

127825152 is an abundant number, since it is smaller than the sum of its proper divisors (311716608).

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

127825152 is a wasteful number, since it uses less digits than its factorization.

127825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 127825152 is about 11305.9785954158. The cubic root of 127825152 is about 503.7388417710.

The spelling of 127825152 in words is "one hundred twenty-seven million, eight hundred twenty-five thousand, one hundred fifty-two".