132205651234536 has 256 divisors, whose sum is σ = 366822270259200. Its totient is φ = 39372567552000.

The previous prime is 132205651234529. The next prime is 132205651234589. The reversal of 132205651234536 is 635432156502231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16445530405 + ... + 16445538443.

It is an arithmetic number, because the mean of its divisors is an integer number (1432899493200).

Almost surely, 2^{132205651234536} 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 132205651234536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183411135129600).

132205651234536 is an abundant number, since it is smaller than the sum of its proper divisors (234616619024664).

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

132205651234536 is a wasteful number, since it uses less digits than its factorization.

132205651234536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12560 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 132205651234536 in words is "one hundred thirty-two trillion, two hundred five billion, six hundred fifty-one million, two hundred thirty-four thousand, five hundred thirty-six".