127638252 has 36 divisors (see below), whose sum is σ = 368733456. Its totient is φ = 36468000.

The previous prime is 127638239. The next prime is 127638263. The reversal of 127638252 is 252836721.

127638252 is a `hidden beast` number, since 1 + 276 + 382 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252999 + ... + 253502.

It is an arithmetic number, because the mean of its divisors is an integer number (10242596).

Almost surely, 2^127638252 is an apocalyptic number.

127638252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127638252 is an abundant number, since it is smaller than the sum of its proper divisors (241095204).

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

127638252 is a wasteful number, since it uses less digits than its factorization.

127638252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506518 (or 506513 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 127638252 is about 11297.7100334537. The cubic root of 127638252 is about 503.4932075016.

The spelling of 127638252 in words is "one hundred twenty-seven million, six hundred thirty-eight thousand, two hundred fifty-two".