165146460 has 48 divisors (see below), whose sum is σ = 465962112. Its totient is φ = 43700800.

The previous prime is 165146453. The next prime is 165146507. The reversal of 165146460 is 64641561.

It is a happy number.

165146460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646 + ... + 18365.

It is an arithmetic number, because the mean of its divisors is an integer number (9707544).

Almost surely, 2^165146460 is an apocalyptic number.

165146460 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 165146460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232981056).

165146460 is an abundant number, since it is smaller than the sum of its proper divisors (300815652).

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

165146460 is a wasteful number, since it uses less digits than its factorization.

165146460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21154 (or 21152 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 165146460 is about 12850.9322619022. The cubic root of 165146460 is about 548.6428910420.

The spelling of 165146460 in words is "one hundred sixty-five million, one hundred forty-six thousand, four hundred sixty".