145216631329 has 63 divisors (see below), whose sum is σ = 188083129843. Its totient is φ = 112035462000.

The previous prime is 145216631299. The next prime is 145216631341. The reversal of 145216631329 is 923136612541.

The square root of 145216631329 is 381073.

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

145216631329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 139522419729 + 5694211600 = 373527^2 + 75460^2 .

It is not a de Polignac number, because 145216631329 - 2⁷ = 145216631201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145216635329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1437788379 + ... + 1437788479.

Almost surely, 2^145216631329 is an apocalyptic number.

145216631329 is the 381073-rd square number.

145216631329 is the 190537-th centered octagonal number.

It is an amenable number.

145216631329 is a deficient number, since it is larger than the sum of its proper divisors (42866498514).

145216631329 is an frugal number, since it uses more digits than its factorization.

145216631329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 119 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The spelling of 145216631329 in words is "one hundred forty-five billion, two hundred sixteen million, six hundred thirty-one thousand, three hundred twenty-nine".