132114141024040 has 128 divisors (see below), whose sum is σ = 347643708192000. Its totient is φ = 44240187414528.

The previous prime is 132114141023993. The next prime is 132114141024053. The reversal of 132114141024040 is 40420141411231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 203018706 + ... + 203668414.

It is an arithmetic number, because the mean of its divisors is an integer number (2715966470250).

Almost surely, 2^{132114141024040} is an apocalyptic number.

132114141024040 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 132114141024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173821854096000).

132114141024040 is an abundant number, since it is smaller than the sum of its proper divisors (215529567167960).

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

132114141024040 is a wasteful number, since it uses less digits than its factorization.

132114141024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666659 (or 666655 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 132114141024040 its reverse (40420141411231), we get a palindrome (172534282435271).

The spelling of 132114141024040 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred forty-one million, twenty-four thousand, forty".