132161441436288 has 1024 divisors, whose sum is σ = 451646834688000. Its totient is φ = 37626150481920.

The previous prime is 132161441436253. The next prime is 132161441436301. The reversal of 132161441436288 is 882634144161231.

132161441436288 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 1 + 4 + 4 + 1 + 4 + 3 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65981747095 + ... + 65981749097.

It is an arithmetic number, because the mean of its divisors is an integer number (441061362000).

Almost surely, 2^{132161441436288} is an apocalyptic number.

132161441436288 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 132161441436288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225823417344000).

132161441436288 is an abundant number, since it is smaller than the sum of its proper divisors (319485393251712).

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

132161441436288 is a wasteful number, since it uses less digits than its factorization.

132161441436288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2752 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 132161441436288 in words is "one hundred thirty-two trillion, one hundred sixty-one billion, four hundred forty-one million, four hundred thirty-six thousand, two hundred eighty-eight".