165360042 has 48 divisors (see below), whose sum is σ = 375822720. Its totient is φ = 54486432.

The previous prime is 165360031. The next prime is 165360061. The reversal of 165360042 is 240063561.

165360042 is a `hidden beast` number, since 1 + 6 + 53 + 600 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 165359988 and 165360015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41343 + ... + 45165.

It is an arithmetic number, because the mean of its divisors is an integer number (7829640).

Almost surely, 2^165360042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165360042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187911360).

165360042 is an abundant number, since it is smaller than the sum of its proper divisors (210462678).

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

165360042 is an equidigital number, since it uses as much as digits as its factorization.

165360042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 165360042 is about 12859.2395576099. The cubic root of 165360042 is about 548.8793069811.

The spelling of 165360042 in words is "one hundred sixty-five million, three hundred sixty thousand, forty-two".