132071435608320 has 3024 divisors, whose sum is σ = 549452934998352. Its totient is φ = 30213380505600.

The previous prime is 132071435608291. The next prime is 132071435608351. The reversal of 132071435608320 is 23806534170231.

132071435608320 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 7 + 1 + 4 + 3 + 5 + 608 + 32 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 24100715925504 + 107970719682816 = 4909248^2 + 10390896^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 354078915654 + ... + 354078916026.

Almost surely, 2^{132071435608320} is an apocalyptic number.

132071435608320 is a gapful number since it is divisible by the number (10) 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 132071435608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274726467499176).

132071435608320 is an abundant number, since it is smaller than the sum of its proper divisors (417381499390032).

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

132071435608320 is a wasteful number, since it uses less digits than its factorization.

132071435608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 132071435608320 its reverse (23806534170231), we get a palindrome (155877969778551).

The spelling of 132071435608320 in words is "one hundred thirty-two trillion, seventy-one billion, four hundred thirty-five million, six hundred eight thousand, three hundred twenty".