165454848 has 132 divisors (see below), whose sum is σ = 514869628. Its totient is φ = 50872320.

The previous prime is 165454837. The next prime is 165454859. The reversal of 165454848 is 848454561.

It is a happy number.

165454848 is a `hidden beast` number, since 1 + 65 + 4 + 548 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (165454837) and next prime (165454859).

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 117679104 = 6912^2 + 10848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119118 + ... + 120498.

Almost surely, 2^165454848 is an apocalyptic number.

165454848 is a gapful number since it is divisible by the number (18) 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 165454848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257434814).

165454848 is an abundant number, since it is smaller than the sum of its proper divisors (349414780).

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

165454848 is a wasteful number, since it uses less digits than its factorization.

165454848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1399 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 165454848 is about 12862.9253282447. The cubic root of 165454848 is about 548.9841834057.

The spelling of 165454848 in words is "one hundred sixty-five million, four hundred fifty-four thousand, eight hundred forty-eight".