127267152 has 80 divisors (see below), whose sum is σ = 343549440. Its totient is φ = 40592640.

The previous prime is 127267141. The next prime is 127267169. The reversal of 127267152 is 251762721.

It is a super-2 number, since 2×127267152² = 32393855956382208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429924 + ... + 1430012.

It is an arithmetic number, because the mean of its divisors is an integer number (4294368).

Almost surely, 2^127267152 is an apocalyptic number.

127267152 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 127267152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171774720).

127267152 is an abundant number, since it is smaller than the sum of its proper divisors (216282288).

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

127267152 is an frugal number, since it uses more digits than its factorization.

127267152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 125 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 127267152 is about 11281.2743960955. The cubic root of 127267152 is about 503.0047758058.

The spelling of 127267152 in words is "one hundred twenty-seven million, two hundred sixty-seven thousand, one hundred fifty-two".