145832215362201 has 21 divisors (see below), whose sum is σ = 218648789807269. Its totient is φ = 97221259538316.

The previous prime is 145832215362181. The next prime is 145832215362257. The reversal of 145832215362201 is 102263512238541.

It is a happy number.

The square root of 145832215362201 is 12076101.

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

145832215362201 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 3 + 2 + 2 + 15 + 3 + 622 + 0 + 1 = 666.

It is not a de Polignac number, because 145832215362201 - 2⁴⁵ = 110647843273369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145832215360201) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 325831096 + ... + 326278358.

Almost surely, 2^{145832215362201} is an apocalyptic number.

145832215362201 is the 12076101-st square number.

145832215362201 is the 6038051-st centered octagonal number.

It is an amenable number.

145832215362201 is a deficient number, since it is larger than the sum of its proper divisors (72816574445068).

145832215362201 is an frugal number, since it uses more digits than its factorization.

145832215362201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894544 (or 447266 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 145832215362201 in words is "one hundred forty-five trillion, eight hundred thirty-two billion, two hundred fifteen million, three hundred sixty-two thousand, two hundred one".