1113533136144 has 240 divisors, whose sum is σ = 3750461455104. Its totient is φ = 303880550400.

The previous prime is 1113533136113. The next prime is 1113533136187. The reversal of 1113533136144 is 4416313353111.

1113533136144 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 5 + 3 + 31 + 3 + 614 + 4 = 666.

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 = 1113533136099 and 1113533136108.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 184809 + ... + 1503735.

Almost surely, 2^{1113533136144} 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 1113533136144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875230727552).

1113533136144 is an abundant number, since it is smaller than the sum of its proper divisors (2636928318960).

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

1113533136144 is a wasteful number, since it uses less digits than its factorization.

1113533136144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319006 (or 1318997 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Adding to 1113533136144 its reverse (4416313353111), we get a palindrome (5529846489255).

The spelling of 1113533136144 in words is "one trillion, one hundred thirteen billion, five hundred thirty-three million, one hundred thirty-six thousand, one hundred forty-four".