145600243776 has 189 divisors, whose sum is σ = 452278900749. Its totient is φ = 44763443712.

The previous prime is 145600243729. The next prime is 145600243807. The reversal of 145600243776 is 677342006541.

The square root of 145600243776 is 381576.

It is a perfect power (a square), and thus also a powerful number.

145600243776 is a `hidden beast` number, since 1 + 4 + 5 + 600 + 2 + 4 + 37 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21538497600 + 124061746176 = 146760^2 + 352224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119051101 + ... + 119052323.

Almost surely, 2^145600243776 is an apocalyptic number.

145600243776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145600243776 is the 381576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145600243776

145600243776 is an abundant number, since it is smaller than the sum of its proper divisors (306678656973).

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

145600243776 is an equidigital number, since it uses as much as digits as its factorization.

145600243776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

It can be divided in two parts, 145600 and 243776, that added together give a square (389376 = 624²).

The spelling of 145600243776 in words is "one hundred forty-five billion, six hundred million, two hundred forty-three thousand, seven hundred seventy-six".