165162240 has 288 divisors, whose sum is σ = 603388800. Its totient is φ = 43296768.

The previous prime is 165162233. The next prime is 165162247. The reversal of 165162240 is 42261561.

165162240 is a `hidden beast` number, since 1 + 651 + 6 + 2 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165162233) and next prime (165162247).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165162247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799331 + ... + 2799389.

It is an arithmetic number, because the mean of its divisors is an integer number (2095100).

Almost surely, 2^165162240 is an apocalyptic number.

165162240 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 165162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301694400).

165162240 is an abundant number, since it is smaller than the sum of its proper divisors (438226560).

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

165162240 is an frugal number, since it uses more digits than its factorization.

165162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 165162240 is about 12851.5462104760. The cubic root of 165162240 is about 548.6603650448.

The spelling of 165162240 in words is "one hundred sixty-five million, one hundred sixty-two thousand, two hundred forty".