165145140 has 144 divisors (see below), whose sum is σ = 548992080. Its totient is φ = 39997440.

The previous prime is 165145121. The next prime is 165145147. The reversal of 165145140 is 41541561.

165145140 is a `hidden beast` number, since 1 + 6 + 514 + 5 + 140 = 666.

165145140 is digitally balanced in base 3, 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 8 ways, for example, as 13264164 + 151880976 = 3642^2 + 12324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165145147) 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, 87810 + ... + 89670.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 2^165145140 is an apocalyptic number.

165145140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

165145140 is an abundant number, since it is smaller than the sum of its proper divisors (383846940).

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

165145140 is a wasteful number, since it uses less digits than its factorization.

165145140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 165145140 is about 12850.8809036579. The cubic root of 165145140 is about 548.6414292879.

The spelling of 165145140 in words is "one hundred sixty-five million, one hundred forty-five thousand, one hundred forty".