165140 has 24 divisors (see below), whose sum is σ = 362880. Its totient is φ = 63008.

The previous prime is 165133. The next prime is 165161. The reversal of 165140 is 41561.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165140.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹⁶⁵¹⁴⁰ is an apocalyptic number.

165140 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 165140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

165140 is an abundant number, since it is smaller than the sum of its proper divisors (197740).

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

165140 is a wasteful number, since it uses less digits than its factorization.

165140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 165140 is about 406.3742117802. The cubic root of 165140 is about 54.8635737232.

The spelling of 165140 in words is "one hundred sixty-five thousand, one hundred forty".