162131328 has 128 divisors (see below), whose sum is σ = 490089600. Its totient is φ = 52738560.

The previous prime is 162131327. The next prime is 162131353. The reversal of 162131328 is 823131261.

It is a happy number.

162131328 is a `hidden beast` number, since 1 + 621 + 3 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162131327) 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 15 ways as a sum of consecutive naturals, for example, 148063 + ... + 149153.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2^162131328 is an apocalyptic number.

162131328 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 162131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245044800).

162131328 is an abundant number, since it is smaller than the sum of its proper divisors (327958272).

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

162131328 is a wasteful number, since it uses less digits than its factorization.

162131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1139 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 162131328 is about 12733.0800672893. The cubic root of 162131328 is about 545.2834459711.

Adding to 162131328 its reverse (823131261), we get a palindrome (985262589).

The spelling of 162131328 in words is "one hundred sixty-two million, one hundred thirty-one thousand, three hundred twenty-eight".