11133145152 has 252 divisors, whose sum is σ = 34229984880. Its totient is φ = 3449931264.

The previous prime is 11133145151. The next prime is 11133145189. The reversal of 11133145152 is 25154133111.

11133145152 is a `hidden beast` number, since 1 + 1 + 133 + 14 + 515 + 2 = 666.

It is a super-2 number, since 2×11133145152² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11133145151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68301423 + ... + 68301585.

Almost surely, 2^11133145152 is an apocalyptic number.

11133145152 is a gapful number since it is divisible by the number (12) 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 11133145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17114992440).

11133145152 is an abundant number, since it is smaller than the sum of its proper divisors (23096839728).

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

11133145152 is a wasteful number, since it uses less digits than its factorization.

11133145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 266 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 11133145152 its reverse (25154133111), we get a palindrome (36287278263).

The spelling of 11133145152 in words is "eleven billion, one hundred thirty-three million, one hundred forty-five thousand, one hundred fifty-two".