1131453216 has 72 divisors (see below), whose sum is σ = 3236311260. Its totient is φ = 374954496.

The previous prime is 1131453209. The next prime is 1131453233. The reversal of 1131453216 is 6123541311.

It is a happy number.

1131453216 is a `hidden beast` number, since 113 + 1 + 4 + 532 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1115292816 + 16160400 = 33396^2 + 4020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1131453216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38470 + ... + 61178.

Almost surely, 2^1131453216 is an apocalyptic number.

1131453216 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 1131453216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618155630).

1131453216 is an abundant number, since it is smaller than the sum of its proper divisors (2104858044).

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

1131453216 is a wasteful number, since it uses less digits than its factorization.

1131453216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22898 (or 22887 counting only the distinct ones).

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

The square root of 1131453216 is about 33637.0809672897. The cubic root of 1131453216 is about 1042.0267479131.

Adding to 1131453216 its reverse (6123541311), we get a palindrome (7254994527).

The spelling of 1131453216 in words is "one billion, one hundred thirty-one million, four hundred fifty-three thousand, two hundred sixteen".