165056540 has 48 divisors (see below), whose sum is σ = 383491584. Its totient is φ = 59169600.

The previous prime is 165056509. The next prime is 165056557. The reversal of 165056540 is 45650561.

It is a super-2 number, since 2×165056540² = 54487322793543200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165056497 and 165056506.

It is a congruent number.

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, 10337 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (7989408).

Almost surely, 2^165056540 is an apocalyptic number.

165056540 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 165056540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191745792).

165056540 is an abundant number, since it is smaller than the sum of its proper divisors (218435044).

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

165056540 is a wasteful number, since it uses less digits than its factorization.

165056540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 165056540 is about 12847.4332066760. The cubic root of 165056540 is about 548.5432967680.

The spelling of 165056540 in words is "one hundred sixty-five million, fifty-six thousand, five hundred forty".