132142321210536 has 384 divisors, whose sum is σ = 442146290826240. Its totient is φ = 34718500454400.

The previous prime is 132142321210517. The next prime is 132142321210541. The reversal of 132142321210536 is 635012123241231.

132142321210536 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 423 + 212 + 10 + 5 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132142321210536.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15522411016 + ... + 15522419528.

It is an arithmetic number, because the mean of its divisors is an integer number (1151422632360).

Almost surely, 2^{132142321210536} 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 132142321210536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221073145413120).

132142321210536 is an abundant number, since it is smaller than the sum of its proper divisors (310003969615704).

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

132142321210536 is a wasteful number, since it uses less digits than its factorization.

132142321210536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17257 (or 17250 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 132142321210536 its reverse (635012123241231), we get a palindrome (767154444451767).

The spelling of 132142321210536 in words is "one hundred thirty-two trillion, one hundred forty-two billion, three hundred twenty-one million, two hundred ten thousand, five hundred thirty-six".