127142525 has 24 divisors (see below), whose sum is σ = 164278920. Its totient is φ = 97493760.

The previous prime is 127142513. The next prime is 127142531. The reversal of 127142525 is 525241721.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 79959364 + 47183161 = 8942^2 + 6869^2 .

It is not a de Polignac number, because 127142525 - 2⁶ = 127142461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

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, 113267 + ... + 114383.

It is an arithmetic number, because the mean of its divisors is an integer number (6844955).

Almost surely, 2^127142525 is an apocalyptic number.

It is an amenable number.

127142525 is a deficient number, since it is larger than the sum of its proper divisors (37136395).

127142525 is a wasteful number, since it uses less digits than its factorization.

127142525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1308 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 127142525 is about 11275.7494207702. The cubic root of 127142525 is about 502.8405321948.

The spelling of 127142525 in words is "one hundred twenty-seven million, one hundred forty-two thousand, five hundred twenty-five".