132144143242440 has 1024 divisors, whose sum is σ = 483316625571840. Its totient is φ = 28255691059200.

The previous prime is 132144143242381. The next prime is 132144143242457. The reversal of 132144143242440 is 44242341441231.

It is a happy number.

132144143242440 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132144143242440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54002509297 + ... + 54002511743.

It is an arithmetic number, because the mean of its divisors is an integer number (471988892160).

Almost surely, 2^{132144143242440} is an apocalyptic number.

132144143242440 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 132144143242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241658312785920).

132144143242440 is an abundant number, since it is smaller than the sum of its proper divisors (351172482329400).

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

132144143242440 is a wasteful number, since it uses less digits than its factorization.

132144143242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 132144143242440 its reverse (44242341441231), we get a palindrome (176386484683671).

The spelling of 132144143242440 in words is "one hundred thirty-two trillion, one hundred forty-four billion, one hundred forty-three million, two hundred forty-two thousand, four hundred forty".