145132232813568 has 4224 divisors, whose sum is σ = 637553471385600. Its totient is φ = 31588047912960.

The previous prime is 145132232813543. The next prime is 145132232813599. The reversal of 145132232813568 is 865318232231541.

145132232813568 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 2 + 2 + 3 + 281 + 356 + 8 = 666.

145132232813568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150085038621 + ... + 150085039587.

It is an arithmetic number, because the mean of its divisors is an integer number (150935954400).

Almost surely, 2^{145132232813568} is an apocalyptic number.

145132232813568 is a gapful number since it is divisible by the number (18) 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 145132232813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318776735692800).

145132232813568 is an abundant number, since it is smaller than the sum of its proper divisors (492421238572032).

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

145132232813568 is a wasteful number, since it uses less digits than its factorization.

145132232813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1049 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 145132232813568 in words is "one hundred forty-five trillion, one hundred thirty-two billion, two hundred thirty-two million, eight hundred thirteen thousand, five hundred sixty-eight".