1131460000 has 240 divisors, whose sum is σ = 3141119520. Its totient is φ = 397440000.

The previous prime is 1131459977. The next prime is 1131460009. The reversal of 1131460000 is 641311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1131460009) 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 39 ways as a sum of consecutive naturals, for example, 8139931 + ... + 8140069.

It is an arithmetic number, because the mean of its divisors is an integer number (13087998).

Almost surely, 2^1131460000 is an apocalyptic number.

1131460000 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 1131460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570559760).

1131460000 is an abundant number, since it is smaller than the sum of its proper divisors (2009659520).

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

1131460000 is a wasteful number, since it uses less digits than its factorization.

1131460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1131460000 is about 33637.1818082312. The cubic root of 1131460000 is about 1042.0288305137.

The spelling of 1131460000 in words is "one billion, one hundred thirty-one million, four hundred sixty thousand".