132331455648 has 288 divisors, whose sum is σ = 449489779200. Its totient is φ = 37766227968.

The previous prime is 132331455629. The next prime is 132331455757. The reversal of 132331455648 is 846554133231.

132331455648 is a `hidden beast` number, since 1 + 3 + 23 + 31 + 4 + 556 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×132331455648² (a number of 23 digits) contains 22 as substring.

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, 74468136 + ... + 74469912.

It is an arithmetic number, because the mean of its divisors is an integer number (1560728400).

Almost surely, 2^132331455648 is an apocalyptic number.

132331455648 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 132331455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224744889600).

132331455648 is an abundant number, since it is smaller than the sum of its proper divisors (317158323552).

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

132331455648 is a wasteful number, since it uses less digits than its factorization.

132331455648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3548 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

Adding to 132331455648 its reverse (846554133231), we get a palindrome (978885588879).

The spelling of 132331455648 in words is "one hundred thirty-two billion, three hundred thirty-one million, four hundred fifty-five thousand, six hundred forty-eight".