165078125 has 16 divisors (see below), whose sum is σ = 206444784. Its totient is φ = 132000000.

The previous prime is 165078113. The next prime is 165078149. The reversal of 165078125 is 521870561.

It can be written as a sum of positive squares in 8 ways, for example, as 67996516 + 97081609 = 8246^2 + 9853^2 .

It is a de Polignac number, because none of the positive numbers 2^k-165078125 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77069 + ... + 79181.

It is an arithmetic number, because the mean of its divisors is an integer number (12902799).

Almost surely, 2^165078125 is an apocalyptic number.

It is an amenable number.

165078125 is a deficient number, since it is larger than the sum of its proper divisors (41366659).

165078125 is an frugal number, since it uses more digits than its factorization.

165078125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 165078125 is about 12848.2732302827. The cubic root of 165078125 is about 548.5672073443.

The spelling of 165078125 in words is "one hundred sixty-five million, seventy-eight thousand, one hundred twenty-five".