127142528 has 64 divisors (see below), whose sum is σ = 278337600. Its totient is φ = 57581568.

The previous prime is 127142513. The next prime is 127142531. The reversal of 127142528 is 825241721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 127142494 and 127142503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54800 + ... + 57072.

It is an arithmetic number, because the mean of its divisors is an integer number (4349025).

Almost surely, 2^127142528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139168800).

127142528 is an abundant number, since it is smaller than the sum of its proper divisors (151195072).

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

127142528 is a wasteful number, since it uses less digits than its factorization.

127142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2317 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 127142528 is about 11275.7495537991. The cubic root of 127142528 is about 502.8405361497.

The spelling of 127142528 in words is "one hundred twenty-seven million, one hundred forty-two thousand, five hundred twenty-eight".