165120157 has 2 divisors, whose sum is σ = 165120158. Its totient is φ = 165120156.

The previous prime is 165120143. The next prime is 165120169. The reversal of 165120157 is 751021561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138556441 + 26563716 = 11771^2 + 5154^2 .

It is a cyclic number.

It is not a de Polignac number, because 165120157 - 2¹⁵ = 165087389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165720157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82560078 + 82560079.

It is an arithmetic number, because the mean of its divisors is an integer number (82560079).

Almost surely, 2^165120157 is an apocalyptic number.

It is an amenable number.

165120157 is a deficient number, since it is larger than the sum of its proper divisors (1).

165120157 is an equidigital number, since it uses as much as digits as its factorization.

165120157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 165120157 is about 12849.9088323614. The cubic root of 165120157 is about 548.6137619079.

The spelling of 165120157 in words is "one hundred sixty-five million, one hundred twenty thousand, one hundred fifty-seven".