13454352153 has 120 divisors (see below), whose sum is σ = 22942180800. Its totient is φ = 7846787520.

The previous prime is 13454352137. The next prime is 13454352157. The reversal of 13454352153 is 35125345431.

13454352153 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 435 + 215 + 3 = 666.

13454352153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13454352153 - 2⁴ = 13454352137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13454352157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30647508 + ... + 30647946.

It is an arithmetic number, because the mean of its divisors is an integer number (191184840).

Almost surely, 2^13454352153 is an apocalyptic number.

It is an amenable number.

13454352153 is a deficient number, since it is larger than the sum of its proper divisors (9487828647).

13454352153 is a wasteful number, since it uses less digits than its factorization.

13454352153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 565 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 13454352153 its reverse (35125345431), we get a palindrome (48579697584).

The spelling of 13454352153 in words is "thirteen billion, four hundred fifty-four million, three hundred fifty-two thousand, one hundred fifty-three".