132511530528 has 192 divisors, whose sum is σ = 416472779520. Its totient is φ = 40748230656.

The previous prime is 132511530499. The next prime is 132511530581. The reversal of 132511530528 is 825035115231.

132511530528 is a `hidden beast` number, since 1 + 32 + 51 + 1 + 53 + 0 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132511530492 and 132511530501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29728876 + ... + 29733332.

It is an arithmetic number, because the mean of its divisors is an integer number (2169129060).

Almost surely, 2^132511530528 is an apocalyptic number.

132511530528 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 132511530528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208236389760).

132511530528 is an abundant number, since it is smaller than the sum of its proper divisors (283961248992).

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

132511530528 is a wasteful number, since it uses less digits than its factorization.

132511530528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 132511530528 its reverse (825035115231), we get a palindrome (957546645759).

The spelling of 132511530528 in words is "one hundred thirty-two billion, five hundred eleven million, five hundred thirty thousand, five hundred twenty-eight".