1131540480 has 312 divisors, whose sum is σ = 4487619552. Its totient is φ = 258342912.

The previous prime is 1131540457. The next prime is 1131540491. The reversal of 1131540480 is 840451311.

It is a happy number.

1131540480 is a `hidden beast` number, since 1 + 131 + 54 + 0 + 480 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1289802 + ... + 1290678.

It is an arithmetic number, because the mean of its divisors is an integer number (14383396).

Almost surely, 2^1131540480 is an apocalyptic number.

1131540480 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 1131540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243809776).

1131540480 is an abundant number, since it is smaller than the sum of its proper divisors (3356079072).

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

1131540480 is an equidigital number, since it uses as much as digits as its factorization.

1131540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1131540480 is about 33638.3780821846. The cubic root of 1131540480 is about 1042.0535362013.

Adding to 1131540480 its reverse (840451311), we get a palindrome (1971991791).

The spelling of 1131540480 in words is "one billion, one hundred thirty-one million, five hundred forty thousand, four hundred eighty".