165461540 has 48 divisors (see below), whose sum is σ = 364428288. Its totient is φ = 62984064.

The previous prime is 165461537. The next prime is 165461551. The reversal of 165461540 is 45164561.

165461540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 165461497 and 165461506.

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, 101774 + ... + 103386.

It is an arithmetic number, because the mean of its divisors is an integer number (7592256).

Almost surely, 2^165461540 is an apocalyptic number.

165461540 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 165461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182214144).

165461540 is an abundant number, since it is smaller than the sum of its proper divisors (198966748).

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

165461540 is a wasteful number, since it uses less digits than its factorization.

165461540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 165461540 is about 12863.1854530672. The cubic root of 165461540 is about 548.9915847253.

The spelling of 165461540 in words is "one hundred sixty-five million, four hundred sixty-one thousand, five hundred forty".