165135140 has 48 divisors (see below), whose sum is σ = 362396160. Its totient is φ = 63133440.

The previous prime is 165135083. The next prime is 165135151. The reversal of 165135140 is 41531561.

165135140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165135140² = 54539228925639200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49856 + ... + 53064.

It is an arithmetic number, because the mean of its divisors is an integer number (7549920).

Almost surely, 2^165135140 is an apocalyptic number.

165135140 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 165135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181198080).

165135140 is an abundant number, since it is smaller than the sum of its proper divisors (197261020).

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

165135140 is a wasteful number, since it uses less digits than its factorization.

165135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 165135140 is about 12850.4918193819. The cubic root of 165135140 is about 548.6303551402.

The spelling of 165135140 in words is "one hundred sixty-five million, one hundred thirty-five thousand, one hundred forty".