153030907664829 has 24 divisors (see below), whose sum is σ = 221085441977400. Its totient is φ = 102001777320960.

The previous prime is 153030907664813. The next prime is 153030907664879. The reversal of 153030907664829 is 928466709030351.

153030907664829 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 3 + 0 + 90 + 7 + 66 + 482 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22431609384804 + 130599298280025 = 4736202^2 + 11428005^2 .

It is not a de Polignac number, because 153030907664829 - 2⁴ = 153030907664813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153030907664879) 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 23 ways as a sum of consecutive naturals, for example, 1157146149 + ... + 1157278389.

It is an arithmetic number, because the mean of its divisors is an integer number (9211893415725).

It is a 1-persistent number, because it is pandigital, but 2⋅153030907664829 = 306061815329658 is not.

Almost surely, 2^{153030907664829} is an apocalyptic number.

It is an amenable number.

153030907664829 is a deficient number, since it is larger than the sum of its proper divisors (68054534312571).

153030907664829 is a wasteful number, since it uses less digits than its factorization.

153030907664829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155005 (or 155002 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 153030907664829 in words is "one hundred fifty-three trillion, thirty billion, nine hundred seven million, six hundred sixty-four thousand, eight hundred twenty-nine".