132101536000 has 288 divisors, whose sum is σ = 379881815040. Its totient is φ = 44835840000.

The previous prime is 132101535977. The next prime is 132101536009. The reversal of 132101536000 is 635101231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132101536009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22621081 + ... + 22626919.

It is an arithmetic number, because the mean of its divisors is an integer number (1319034080).

Almost surely, 2^132101536000 is an apocalyptic number.

132101536000 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 132101536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189940907520).

132101536000 is an abundant number, since it is smaller than the sum of its proper divisors (247780279040).

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

132101536000 is an equidigital number, since it uses as much as digits as its factorization.

132101536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 132101536000 its reverse (635101231), we get a palindrome (132736637231).

The spelling of 132101536000 in words is "one hundred thirty-two billion, one hundred one million, five hundred thirty-six thousand".