132226483068288 has 384 divisors, whose sum is σ = 441361251302400. Its totient is φ = 37216617799680.

The previous prime is 132226483068287. The next prime is 132226483068331. The reversal of 132226483068288 is 882860384622231.

It is a happy number.

132226483068288 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 6 + 48 + 306 + 8 + 288 = 666.

132226483068288 is digitally balanced in base 3, 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132226483068287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194155695 + ... + 194835537.

It is an arithmetic number, because the mean of its divisors is an integer number (1149378258600).

Almost surely, 2^{132226483068288} is an apocalyptic number.

132226483068288 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 132226483068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220680625651200).

132226483068288 is an abundant number, since it is smaller than the sum of its proper divisors (309134768234112).

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

132226483068288 is a wasteful number, since it uses less digits than its factorization.

132226483068288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680230 (or 680215 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 132226483068288 in words is "one hundred thirty-two trillion, two hundred twenty-six billion, four hundred eighty-three million, sixty-eight thousand, two hundred eighty-eight".