153205311345 has 16 divisors (see below), whose sum is σ = 245190697920. Its totient is φ = 81688766144.

The previous prime is 153205311319. The next prime is 153205311349. The reversal of 153205311345 is 543113502351.

It is a cyclic number.

It is not a de Polignac number, because 153205311345 - 2⁵ = 153205311313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153205311349) 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 15 ways as a sum of consecutive naturals, for example, 1234650 + ... + 1353059.

It is an arithmetic number, because the mean of its divisors is an integer number (15324418620).

Almost surely, 2^153205311345 is an apocalyptic number.

153205311345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153205311345 is a deficient number, since it is larger than the sum of its proper divisors (91985386575).

153205311345 is a wasteful number, since it uses less digits than its factorization.

153205311345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591664.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 153205311345 its reverse (543113502351), we get a palindrome (696318813696).

The spelling of 153205311345 in words is "one hundred fifty-three billion, two hundred five million, three hundred eleven thousand, three hundred forty-five".