162132768 has 108 divisors (see below), whose sum is σ = 536387670. Its totient is φ = 46319616.

The previous prime is 162132731. The next prime is 162132851. The reversal of 162132768 is 867231261.

162132768 is a `hidden beast` number, since 1 + 621 + 3 + 27 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152473104 + 9659664 = 12348^2 + 3108^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 8368 + ... + 19856.

Almost surely, 2^162132768 is an apocalyptic number.

162132768 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 162132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268193835).

162132768 is an abundant number, since it is smaller than the sum of its proper divisors (374254902).

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

162132768 is a wasteful number, since it uses less digits than its factorization.

162132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519 (or 11501 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 162132768 is about 12733.1366127911. The cubic root of 162132768 is about 545.2850603123.

It can be divided in two parts, 16213 and 2768, that added together give a palindrome (18981).

The spelling of 162132768 in words is "one hundred sixty-two million, one hundred thirty-two thousand, seven hundred sixty-eight".