146122814368129 has 3 divisors (see below), whose sum is σ = 146122826456257. Its totient is φ = 146122802280002.

The previous prime is 146122814368081. The next prime is 146122814368247. The reversal of 146122814368129 is 921863418221641.

It is a happy number.

The square root of 146122814368129 is 12088127.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 146122814368129 - 2¹⁵ = 146122814335361 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146122814366129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6044064 + ... + 18132190.

Almost surely, 2^{146122814368129} is an apocalyptic number.

146122814368129 is the 12088127-th square number.

146122814368129 is the 6044064-th centered octagonal number.

It is an amenable number.

146122814368129 is a deficient number, since it is larger than the sum of its proper divisors (12088128).

146122814368129 is an frugal number, since it uses more digits than its factorization.

146122814368129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176254 (or 12088127 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 58.

The spelling of 146122814368129 in words is "one hundred forty-six trillion, one hundred twenty-two billion, eight hundred fourteen million, three hundred sixty-eight thousand, one hundred twenty-nine".