165506140 has 48 divisors (see below), whose sum is σ = 357654528. Its totient is φ = 64298304.

The previous prime is 165506119. The next prime is 165506141. The reversal of 165506140 is 41605561.

165506140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165506099 and 165506108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165506141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191349 + ... + 192211.

It is an arithmetic number, because the mean of its divisors is an integer number (7451136).

Almost surely, 2^165506140 is an apocalyptic number.

165506140 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 165506140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178827264).

165506140 is an abundant number, since it is smaller than the sum of its proper divisors (192148388).

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

165506140 is a wasteful number, since it uses less digits than its factorization.

165506140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 165506140 is about 12864.9189659321. The cubic root of 165506140 is about 549.0409070130.

The spelling of 165506140 in words is "one hundred sixty-five million, five hundred six thousand, one hundred forty".