145100808241 has 9 divisors (see below), whose sum is σ = 145685578881. Its totient is φ = 144518380032.

The previous prime is 145100808227. The next prime is 145100808253. The reversal of 145100808241 is 142808001541.

It is a happy number.

The square root of 145100808241 is 380921.

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

It can be written as a sum of positive squares in 4 ways, for example, as 85193350641 + 59907457600 = 291879^2 + 244760^2 .

It is not a de Polignac number, because 145100808241 - 2¹⁹ = 145100283953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145100808197 and 145100808206.

It is not an unprimeable number, because it can be changed into a prime (145100808841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119227665 + ... + 119228881.

Almost surely, 2^145100808241 is an apocalyptic number.

145100808241 is the 380921-st square number.

145100808241 is the 190461-st centered octagonal number.

It is an amenable number.

145100808241 is a deficient number, since it is larger than the sum of its proper divisors (584770640).

145100808241 is an frugal number, since it uses more digits than its factorization.

145100808241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

Adding to 145100808241 its reverse (142808001541), we get a palindrome (287908809782).

The spelling of 145100808241 in words is "one hundred forty-five billion, one hundred million, eight hundred eight thousand, two hundred forty-one".