132226362144 has 144 divisors (see below), whose sum is σ = 391699107072. Its totient is φ = 43877230848.

The previous prime is 132226362127. The next prime is 132226362179. The reversal of 132226362144 is 441263622231.

132226362144 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 636 + 2 + 14 + 4 = 666.

132226362144 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 a junction number, because it is equal to n+sod(n) for n = 132226362099 and 132226362108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695922 + ... + 1772174.

It is an arithmetic number, because the mean of its divisors is an integer number (2720132688).

Almost surely, 2^132226362144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132226362144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195849553536).

132226362144 is an abundant number, since it is smaller than the sum of its proper divisors (259472744928).

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

132226362144 is an equidigital number, since it uses as much as digits as its factorization.

132226362144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76501 (or 76481 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 132226362144 its reverse (441263622231), we get a palindrome (573489984375).

The spelling of 132226362144 in words is "one hundred thirty-two billion, two hundred twenty-six million, three hundred sixty-two thousand, one hundred forty-four".