132133132032 has 288 divisors, whose sum is σ = 404339959296. Its totient is φ = 37914624000.

The previous prime is 132133132031. The next prime is 132133132067. The reversal of 132133132032 is 230231331231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132133131993 and 132133132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133132031) 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, 19621338 + ... + 19628070.

It is an arithmetic number, because the mean of its divisors is an integer number (1403958192).

Almost surely, 2^132133132032 is an apocalyptic number.

132133132032 is a gapful number since it is divisible by the number (12) 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 132133132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202169979648).

132133132032 is an abundant number, since it is smaller than the sum of its proper divisors (272206827264).

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

132133132032 is a wasteful number, since it uses less digits than its factorization.

132133132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132133132032 its reverse (230231331231), we get a palindrome (362364463263).

The spelling of 132133132032 in words is "one hundred thirty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-two".