132104422134144 has 384 divisors, whose sum is σ = 406850536834560. Its totient is φ = 40999550976000.

The previous prime is 132104422134121. The next prime is 132104422134173. The reversal of 132104422134144 is 441431224401231.

132104422134144 is a `hidden beast` number, since 1 + 3 + 2 + 10 + 4 + 4 + 221 + 3 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×132104422134144² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132104422134099 and 132104422134108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676940904 + ... + 677136024.

It is an arithmetic number, because the mean of its divisors is an integer number (1059506606340).

Almost surely, 2^{132104422134144} 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 132104422134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203425268417280).

132104422134144 is an abundant number, since it is smaller than the sum of its proper divisors (274746114700416).

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

132104422134144 is a wasteful number, since it uses less digits than its factorization.

132104422134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195530 (or 195515 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 132104422134144 its reverse (441431224401231), we get a palindrome (573535646535375).

The spelling of 132104422134144 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred twenty-two million, one hundred thirty-four thousand, one hundred forty-four".