145666596937728 has 224 divisors, whose sum is σ = 389880993078720. Its totient is φ = 48373306490880.

The previous prime is 145666596937721. The next prime is 145666596937751. The reversal of 145666596937728 is 827739695666541.

It is not an unprimeable number, because it can be changed into a prime (145666596937721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7401372048 + ... + 7401391728.

Almost surely, 2^{145666596937728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145666596937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194940496539360).

145666596937728 is an abundant number, since it is smaller than the sum of its proper divisors (244214396140992).

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

145666596937728 is an equidigital number, since it uses as much as digits as its factorization.

145666596937728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20826 (or 20802 counting only the distinct ones).

The product of its digits is 24690355200, while the sum is 84.

The spelling of 145666596937728 in words is "one hundred forty-five trillion, six hundred sixty-six billion, five hundred ninety-six million, nine hundred thirty-seven thousand, seven hundred twenty-eight".