11024135136 has 144 divisors (see below), whose sum is σ = 36009792000. Its totient is φ = 3133810944.

The previous prime is 11024135123. The next prime is 11024135219. The reversal of 11024135136 is 63153142011.

It is a happy number.

11024135136 is a `hidden beast` number, since 1 + 102 + 41 + 3 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387445 + ... + 414923.

It is an arithmetic number, because the mean of its divisors is an integer number (250068000).

Almost surely, 2^11024135136 is an apocalyptic number.

11024135136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11024135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004896000).

11024135136 is an abundant number, since it is smaller than the sum of its proper divisors (24985656864).

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

11024135136 is a wasteful number, since it uses less digits than its factorization.

11024135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27701 (or 27690 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11024135136 its reverse (63153142011), we get a palindrome (74177277147).

The spelling of 11024135136 in words is "eleven billion, twenty-four million, one hundred thirty-five thousand, one hundred thirty-six".