132342133341312 has 192 divisors, whose sum is σ = 381981834124800. Its totient is φ = 43980620378112.

The previous prime is 132342133341307. The next prime is 132342133341367. The reversal of 132342133341312 is 213143331243231.

132342133341312 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 2 + 1 + 3 + 334 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508234764 + ... + 508495092.

It is an arithmetic number, because the mean of its divisors is an integer number (1989488719400).

Almost surely, 2^{132342133341312} is an apocalyptic number.

132342133341312 is a gapful number since it is divisible by the number (12) 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 132342133341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190990917062400).

132342133341312 is an abundant number, since it is smaller than the sum of its proper divisors (249639700783488).

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

132342133341312 is a wasteful number, since it uses less digits than its factorization.

132342133341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261683 (or 261668 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 132342133341312 its reverse (213143331243231), we get a palindrome (345485464584543).

The spelling of 132342133341312 in words is "one hundred thirty-two trillion, three hundred forty-two billion, one hundred thirty-three million, three hundred forty-one thousand, three hundred twelve".