1135150416 has 80 divisors (see below), whose sum is σ = 3288331200. Its totient is φ = 374896512.

The previous prime is 1135150409. The next prime is 1135150483. The reversal of 1135150416 is 6140515311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1135150416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35035 + ... + 59141.

It is an arithmetic number, because the mean of its divisors is an integer number (41104140).

Almost surely, 2^1135150416 is an apocalyptic number.

1135150416 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 1135150416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644165600).

1135150416 is an abundant number, since it is smaller than the sum of its proper divisors (2153180784).

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

1135150416 is a wasteful number, since it uses less digits than its factorization.

1135150416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24233 (or 24221 counting only the distinct ones).

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

The square root of 1135150416 is about 33691.9933515368. The cubic root of 1135150416 is about 1043.1605089135.

Adding to 1135150416 its reverse (6140515311), we get a palindrome (7275665727).

The spelling of 1135150416 in words is "one billion, one hundred thirty-five million, one hundred fifty thousand, four hundred sixteen".