146135313656401 has 2 divisors, whose sum is σ = 146135313656402. Its totient is φ = 146135313656400.

The previous prime is 146135313656263. The next prime is 146135313656411. The reversal of 146135313656401 is 104656313531641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143116838291025 + 3018475365376 = 11963145^2 + 1737376^2 .

It is a cyclic number.

It is not a de Polignac number, because 146135313656401 - 2²³ = 146135305267793 is a prime.

It is not a weakly prime, because it can be changed into another prime (146135313656411) 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 as a sum of consecutive naturals, namely, 73067656828200 + 73067656828201.

It is an arithmetic number, because the mean of its divisors is an integer number (73067656828201).

Almost surely, 2^{146135313656401} is an apocalyptic number.

It is an amenable number.

146135313656401 is a deficient number, since it is larger than the sum of its proper divisors (1).

146135313656401 is an equidigital number, since it uses as much as digits as its factorization.

146135313656401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2332800, while the sum is 49.

The spelling of 146135313656401 in words is "one hundred forty-six trillion, one hundred thirty-five billion, three hundred thirteen million, six hundred fifty-six thousand, four hundred one".