127845312 has 168 divisors, whose sum is σ = 400287744. Its totient is φ = 35900928.

The previous prime is 127845307. The next prime is 127845329. The reversal of 127845312 is 213548721.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006593 + ... + 1006719.

Almost surely, 2^127845312 is an apocalyptic number.

127845312 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 127845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200143872).

127845312 is an abundant number, since it is smaller than the sum of its proper divisors (272442432).

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

127845312 is a wasteful number, since it uses less digits than its factorization.

127845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 127845312 is about 11306.8701239556. The cubic root of 127845312 is about 503.7653228432.

The spelling of 127845312 in words is "one hundred twenty-seven million, eight hundred forty-five thousand, three hundred twelve".