127765125 has 36 divisors (see below), whose sum is σ = 231003396. Its totient is φ = 67939200.

The previous prime is 127765123. The next prime is 127765133. The reversal of 127765125 is 521567721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 71470116 + 56295009 = 8454^2 + 7503^2 .

It is not a de Polignac number, because 127765125 - 2¹ = 127765123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 127765125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127765123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 378957 + ... + 379293.

It is an arithmetic number, because the mean of its divisors is an integer number (6416761).

Almost surely, 2^127765125 is an apocalyptic number.

127765125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127765125 is a deficient number, since it is larger than the sum of its proper divisors (103238271).

127765125 is an frugal number, since it uses more digits than its factorization.

127765125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 345 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 127765125 is about 11303.3236262614. The cubic root of 127765125 is about 503.6599770993.

The spelling of 127765125 in words is "one hundred twenty-seven million, seven hundred sixty-five thousand, one hundred twenty-five".