165145606560225 has 48 divisors (see below), whose sum is σ = 313165002109440. Its totient is φ = 85236442084800.

The previous prime is 165145606560203. The next prime is 165145606560229. The reversal of 165145606560225 is 522065606541561.

165145606560225 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 4 + 5 + 6 + 0 + 6 + 5 + 602 + 25 = 666.

It is not a de Polignac number, because 165145606560225 - 2¹⁵ = 165145606527457 is a prime.

It is a super-2 number, since 2×165145606560225² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165145606560229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3946110654 + ... + 3946152503.

It is an arithmetic number, because the mean of its divisors is an integer number (6524270877280).

Almost surely, 2^{165145606560225} is an apocalyptic number.

165145606560225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165145606560225 is a deficient number, since it is larger than the sum of its proper divisors (148019395549215).

165145606560225 is a wasteful number, since it uses less digits than its factorization.

165145606560225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892263207 (or 7892263196 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 165145606560225 in words is "one hundred sixty-five trillion, one hundred forty-five billion, six hundred six million, five hundred sixty thousand, two hundred twenty-five".