1131532416 has 192 divisors, whose sum is σ = 3859826880. Its totient is φ = 323232768.

The previous prime is 1131532399. The next prime is 1131532417. The reversal of 1131532416 is 6142351311.

It is a happy number.

1131532416 is a `hidden beast` number, since 11 + 315 + 324 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 1131532416.

It is not an unprimeable number, because it can be changed into a prime (1131532417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 215130 + ... + 220326.

It is an arithmetic number, because the mean of its divisors is an integer number (20103265).

Almost surely, 2^1131532416 is an apocalyptic number.

1131532416 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 1131532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929913440).

1131532416 is an abundant number, since it is smaller than the sum of its proper divisors (2728294464).

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

1131532416 is an frugal number, since it uses more digits than its factorization.

1131532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5209 counting only the distinct ones).

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

The square root of 1131532416 is about 33638.2582188793. The cubic root of 1131532416 is about 1042.0510607737.

Adding to 1131532416 its reverse (6142351311), we get a palindrome (7273883727).

The spelling of 1131532416 in words is "one billion, one hundred thirty-one million, five hundred thirty-two thousand, four hundred sixteen".