13541145024 has 112 divisors (see below), whose sum is σ = 39725778816. Its totient is φ = 4036070400.

The previous prime is 13541144993. The next prime is 13541145077. The reversal of 13541145024 is 42054114531.

13541145024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13541145024³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13541144982 and 13541145000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76279 + ... + 181385.

Almost surely, 2^13541145024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13541145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19862889408).

13541145024 is an abundant number, since it is smaller than the sum of its proper divisors (26184633792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13541145024 is a wasteful number, since it uses less digits than its factorization.

13541145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105194 (or 105184 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 13541145024 its reverse (42054114531), we get a palindrome (55595259555).

The spelling of 13541145024 in words is "thirteen billion, five hundred forty-one million, one hundred forty-five thousand, twenty-four".