127056132 has 72 divisors (see below), whose sum is σ = 368362176. Its totient is φ = 36172224.

The previous prime is 127056131. The next prime is 127056179. The reversal of 127056132 is 231650721.

It is a happy number.

127056132 is a `hidden beast` number, since 1 + 2 + 70 + 561 + 32 = 666.

It is a super-2 number, since 2×127056132² = 32286521357602848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127056096 and 127056105.

It is not an unprimeable number, because it can be changed into a prime (127056131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86718 + ... + 88170.

Almost surely, 2^127056132 is an apocalyptic number.

127056132 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 127056132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184181088).

127056132 is an abundant number, since it is smaller than the sum of its proper divisors (241306044).

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

127056132 is a wasteful number, since it uses less digits than its factorization.

127056132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 127056132 is about 11271.9178492393. The cubic root of 127056132 is about 502.7266134636.

The spelling of 127056132 in words is "one hundred twenty-seven million, fifty-six thousand, one hundred thirty-two".