132234142312440 has 288 divisors, whose sum is σ = 499938450036480. Its totient is φ = 30224195172864.

The previous prime is 132234142312399. The next prime is 132234142312511. The reversal of 132234142312440 is 44213241432231.

132234142312440 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 414 + 231 + 2 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132234142312395 and 132234142312404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1035174814 + ... + 1035302546.

It is an arithmetic number, because the mean of its divisors is an integer number (1735897395960).

Almost surely, 2^{132234142312440} is an apocalyptic number.

132234142312440 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 132234142312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249969225018240).

132234142312440 is an abundant number, since it is smaller than the sum of its proper divisors (367704307724040).

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

132234142312440 is a wasteful number, since it uses less digits than its factorization.

132234142312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186451 (or 186437 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 132234142312440 its reverse (44213241432231), we get a palindrome (176447383744671).

The spelling of 132234142312440 in words is "one hundred thirty-two trillion, two hundred thirty-four billion, one hundred forty-two million, three hundred twelve thousand, four hundred forty".