153933029649 has 135 divisors (see below), whose sum is σ = 277312268337. Its totient is φ = 82260202752.

The previous prime is 153933029641. The next prime is 153933029669. The reversal of 153933029649 is 946920339351.

The square root of 153933029649 is 392343.

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

153933029649 is a `hidden beast` number, since 15 + 3 + 9 + 330 + 296 + 4 + 9 = 666.

153933029649 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 4 ways, for example, as 1036389249 + 152896640400 = 32193^2 + 391020^2 .

It is not a de Polignac number, because 153933029649 - 2³ = 153933029641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153933029595 and 153933029604.

It is not an unprimeable number, because it can be changed into a prime (153933029641) 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 134 ways as a sum of consecutive naturals, for example, 980465079 + ... + 980465235.

Almost surely, 2^153933029649 is an apocalyptic number.

153933029649 is the 392343-rd square number.

153933029649 is the 196172-nd centered octagonal number.

It is an amenable number.

153933029649 is a deficient number, since it is larger than the sum of its proper divisors (123379238688).

153933029649 is an frugal number, since it uses more digits than its factorization.

153933029649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 153933029649 in words is "one hundred fifty-three billion, nine hundred thirty-three million, twenty-nine thousand, six hundred forty-nine".