165218148 has 54 divisors (see below), whose sum is σ = 440807094. Its totient is φ = 52170048.

The previous prime is 165218147. The next prime is 165218149. The reversal of 165218148 is 841812561.

165218148 is a `hidden beast` number, since 16 + 521 + 81 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (165218147) and next prime (165218149).

It can be written as a sum of positive squares in only one way, i.e., 163021824 + 2196324 = 12768^2 + 1482^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165218147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6640 + ... + 19352.

Almost surely, 2^165218148 is an apocalyptic number.

165218148 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 165218148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220403547).

165218148 is an abundant number, since it is smaller than the sum of its proper divisors (275588946).

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

165218148 is a wasteful number, since it uses less digits than its factorization.

165218148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12761 (or 12737 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 165218148 is about 12853.7211732634. The cubic root of 165218148 is about 548.7222658828.

The spelling of 165218148 in words is "one hundred sixty-five million, two hundred eighteen thousand, one hundred forty-eight".