13534542144 has 84 divisors (see below), whose sum is σ = 39740593620. Its totient is φ = 4401469440.

The previous prime is 13534542139. The next prime is 13534542167. The reversal of 13534542144 is 44124543531.

13534542144 is a `hidden beast` number, since 13 + 53 + 454 + 2 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6417932544 + 7116609600 = 80112^2 + 84360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13534542099 and 13534542108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262939 + ... + 310170.

It is an arithmetic number, because the mean of its divisors is an integer number (473102305).

Almost surely, 2^13534542144 is an apocalyptic number.

It is an amenable number.

13534542144 is an abundant number, since it is smaller than the sum of its proper divisors (26206051476).

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

13534542144 is a wasteful number, since it uses less digits than its factorization.

13534542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573168 (or 573155 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 13534542144 in words is "thirteen billion, five hundred thirty-four million, five hundred forty-two thousand, one hundred forty-four".