132533020142000 has 160 divisors (see below), whose sum is σ = 321066415612800. Its totient is φ = 52913742336000.

The previous prime is 132533020141981. The next prime is 132533020142009. The reversal of 132533020142000 is 241020335231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132533020142009) 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, 4958384636 + ... + 4958411364.

It is an arithmetic number, because the mean of its divisors is an integer number (2006665097580).

Almost surely, 2^{132533020142000} is an apocalyptic number.

132533020142000 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 132533020142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160533207806400).

132533020142000 is an abundant number, since it is smaller than the sum of its proper divisors (188533395470800).

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

132533020142000 is a wasteful number, since it uses less digits than its factorization.

132533020142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31312 (or 31296 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 132533020142000 its reverse (241020335231), we get a palindrome (132774040477231).

The spelling of 132533020142000 in words is "one hundred thirty-two trillion, five hundred thirty-three billion, twenty million, one hundred forty-two thousand".