132529141248 has 320 divisors, whose sum is σ = 429679641600. Its totient is φ = 36215832576.

The previous prime is 132529141247. The next prime is 132529141249. The reversal of 132529141248 is 842141925231.

It is a happy number.

132529141248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132529141247) and next prime (132529141249).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132529141243) 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, 12112036 + ... + 12122972.

It is an arithmetic number, because the mean of its divisors is an integer number (1342748880).

Almost surely, 2^132529141248 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 132529141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214839820800).

132529141248 is an abundant number, since it is smaller than the sum of its proper divisors (297150500352).

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

132529141248 is an equidigital number, since it uses as much as digits as its factorization.

132529141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002 (or 10972 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 132529141248 in words is "one hundred thirty-two billion, five hundred twenty-nine million, one hundred forty-one thousand, two hundred forty-eight".