132141382165650 has 768 divisors, whose sum is σ = 404774572769280. Its totient is φ = 28088778240000.

The previous prime is 132141382165553. The next prime is 132141382165759. The reversal of 132141382165650 is 56561283141231.

It is a super-2 number, since 2×132141382165650² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132141382165650.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21213896736 + ... + 21213902964.

It is an arithmetic number, because the mean of its divisors is an integer number (527050224960).

Almost surely, 2^{132141382165650} is an apocalyptic number.

132141382165650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132141382165650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202387286384640).

132141382165650 is an abundant number, since it is smaller than the sum of its proper divisors (272633190603630).

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

132141382165650 is a wasteful number, since it uses less digits than its factorization.

132141382165650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 132141382165650 in words is "one hundred thirty-two trillion, one hundred forty-one billion, three hundred eighty-two million, one hundred sixty-five thousand, six hundred fifty".