165042045 has 108 divisors (see below), whose sum is σ = 348521940. Its totient is φ = 72027648.

The previous prime is 165042019. The next prime is 165042049. The reversal of 165042045 is 540240561.

165042045 is a `hidden beast` number, since 1 + 650 + 4 + 2 + 0 + 4 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7338681 + 157703364 = 2709^2 + 12558^2 .

It is not a de Polignac number, because 165042045 - 2⁹ = 165041533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165042049) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1854361 + ... + 1854449.

It is an arithmetic number, because the mean of its divisors is an integer number (3227055).

Almost surely, 2^165042045 is an apocalyptic number.

165042045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165042045 is an abundant number, since it is smaller than the sum of its proper divisors (183479895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165042045 is a wasteful number, since it uses less digits than its factorization.

165042045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 165042045 is about 12846.8690738250. The cubic root of 165042045 is about 548.5272389011.

The spelling of 165042045 in words is "one hundred sixty-five million, forty-two thousand, forty-five".