145632303688041 has 45 divisors (see below), whose sum is σ = 222733581882669. Its totient is φ = 94827296194344.

The previous prime is 145632303688019. The next prime is 145632303688121. The reversal of 145632303688041 is 140886303236541.

The square root of 145632303688041 is 12067821.

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

145632303688041 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 3 + 230 + 368 + 8 + 0 + 41 = 666.

145632303688041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-145632303688041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145632303688441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4670231136 + ... + 4670262318.

Almost surely, 2^{145632303688041} is an apocalyptic number.

145632303688041 is the 12067821-st square number.

145632303688041 is the 6033911-st centered octagonal number.

It is an amenable number.

145632303688041 is a deficient number, since it is larger than the sum of its proper divisors (77101278194628).

145632303688041 is an frugal number, since it uses more digits than its factorization.

145632303688041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62464 (or 31229 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 145632303688041 in words is "one hundred forty-five trillion, six hundred thirty-two billion, three hundred three million, six hundred eighty-eight thousand, forty-one".