1135354132000 has 288 divisors, whose sum is σ = 3100785695280. Its totient is φ = 408201728000.

The previous prime is 1135354131979. The next prime is 1135354132001. The reversal of 1135354132000 is 2314535311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2398256784 + 1132955875216 = 48972^2 + 1064404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1135354132000.

It is not an unprimeable number, because it can be changed into a prime (1135354132001) 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 47 ways as a sum of consecutive naturals, for example, 43062822 + ... + 43089178.

Almost surely, 2^{1135354132000} is an apocalyptic number.

1135354132000 is a gapful number since it is divisible by the number (10) 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 1135354132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550392847640).

1135354132000 is an abundant number, since it is smaller than the sum of its proper divisors (1965431563280).

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

1135354132000 is a wasteful number, since it uses less digits than its factorization.

1135354132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26493 (or 26464 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 1135354132000 its reverse (2314535311), we get a palindrome (1137668667311).

The spelling of 1135354132000 in words is "one trillion, one hundred thirty-five billion, three hundred fifty-four million, one hundred thirty-two thousand".