145728648307600 has 30 divisors (see below), whose sum is σ = 350113077559970. Its totient is φ = 58291459322880.

The previous prime is 145728648307537. The next prime is 145728648307607. The reversal of 145728648307600 is 6703846827541.

It can be written as a sum of positive squares in 3 ways, for example, as 8125988774544 + 137602659533056 = 2850612^2 + 11730416^2 .

It is not an unprimeable number, because it can be changed into a prime (145728648307607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182160809985 + ... + 182160810784.

Almost surely, 2^{145728648307600} is an apocalyptic number.

145728648307600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145728648307600 is an abundant number, since it is smaller than the sum of its proper divisors (204384429252370).

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

145728648307600 is a wasteful number, since it uses less digits than its factorization.

145728648307600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364321620787 (or 364321620776 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 145728648307600 in words is "one hundred forty-five trillion, seven hundred twenty-eight billion, six hundred forty-eight million, three hundred seven thousand, six hundred".