165137272945 has 8 divisors (see below), whose sum is σ = 198167158440. Its totient is φ = 132108197760.

The previous prime is 165137272931. The next prime is 165137272957. The reversal of 165137272945 is 549272731561.

165137272945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29722104801 + 135415168144 = 172401^2 + 367988^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-165137272945 is a prime.

It is a super-2 number, since 2×165137272945² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165137272892 and 165137272901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419371 + ... + 711439.

It is an arithmetic number, because the mean of its divisors is an integer number (24770894805).

Almost surely, 2^165137272945 is an apocalyptic number.

It is an amenable number.

165137272945 is a deficient number, since it is larger than the sum of its proper divisors (33029885495).

165137272945 is a wasteful number, since it uses less digits than its factorization.

165137272945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405155.

The product of its digits is 3175200, while the sum is 52.

The spelling of 165137272945 in words is "one hundred sixty-five billion, one hundred thirty-seven million, two hundred seventy-two thousand, nine hundred forty-five".