132243408024 has 128 divisors (see below), whose sum is σ = 409034465280. Its totient is φ = 34694668800.

The previous prime is 132243408019. The next prime is 132243408047. The reversal of 132243408024 is 420804342231.

132243408024 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×132243408024⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

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, 258634 + ... + 575654.

It is an arithmetic number, because the mean of its divisors is an integer number (3195581760).

Almost surely, 2^132243408024 is an apocalyptic number.

132243408024 is a gapful number since it is divisible by the number (14) 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 132243408024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204517232640).

132243408024 is an abundant number, since it is smaller than the sum of its proper divisors (276791057256).

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

132243408024 is a wasteful number, since it uses less digits than its factorization.

132243408024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317241 (or 317237 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 132243408024 in words is "one hundred thirty-two billion, two hundred forty-three million, four hundred eight thousand, twenty-four".