132718141440 has 448 divisors, whose sum is σ = 483531793920. Its totient is φ = 34516500480.

The previous prime is 132718141429. The next prime is 132718141463. The reversal of 132718141440 is 44141817231.

132718141440 is a `hidden beast` number, since 1 + 3 + 2 + 71 + 8 + 141 + 440 = 666.

It is a super-2 number, since 2×132718141440² (a number of 23 digits) contains 22 as substring.

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 = 132718141395 and 132718141404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45341257 + ... + 45344183.

It is an arithmetic number, because the mean of its divisors is an integer number (1079312040).

Almost surely, 2^132718141440 is an apocalyptic number.

132718141440 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 132718141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241765896960).

132718141440 is an abundant number, since it is smaller than the sum of its proper divisors (350813652480).

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

132718141440 is an equidigital number, since it uses as much as digits as its factorization.

132718141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 132718141440 its reverse (44141817231), we get a palindrome (176859958671).

The spelling of 132718141440 in words is "one hundred thirty-two billion, seven hundred eighteen million, one hundred forty-one thousand, four hundred forty".