162306144 has 288 divisors, whose sum is σ = 620815104. Its totient is φ = 38845440.

The previous prime is 162306107. The next prime is 162306149. The reversal of 162306144 is 441603261.

162306144 is a `hidden beast` number, since 16 + 2 + 30 + 614 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162306149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288007 + ... + 288569.

It is an arithmetic number, because the mean of its divisors is an integer number (2155608).

Almost surely, 2^162306144 is an apocalyptic number.

162306144 is a gapful number since it is divisible by the number (14) 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 162306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310407552).

162306144 is an abundant number, since it is smaller than the sum of its proper divisors (458508960).

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

162306144 is a wasteful number, since it uses less digits than its factorization.

162306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 162306144 is about 12739.9428570147. The cubic root of 162306144 is about 545.4793571744.

The spelling of 162306144 in words is "one hundred sixty-two million, three hundred six thousand, one hundred forty-four".