132144312555744 has 384 divisors, whose sum is σ = 380513352941568. Its totient is φ = 40027736770560.

The previous prime is 132144312555743. The next prime is 132144312555797. The reversal of 132144312555744 is 447555213441231.

It is a super-2 number, since 2×132144312555744² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132144312555743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19120863649 + ... + 19120870559.

It is an arithmetic number, because the mean of its divisors is an integer number (990920189952).

Almost surely, 2^{132144312555744} 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 132144312555744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190256676470784).

132144312555744 is an abundant number, since it is smaller than the sum of its proper divisors (248369040385824).

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

132144312555744 is a wasteful number, since it uses less digits than its factorization.

132144312555744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470 (or 12462 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 51.

Adding to 132144312555744 its reverse (447555213441231), we get a palindrome (579699525996975).

The spelling of 132144312555744 in words is "one hundred thirty-two trillion, one hundred forty-four billion, three hundred twelve million, five hundred fifty-five thousand, seven hundred forty-four".