1131048000 has 336 divisors, whose sum is σ = 4228039296. Its totient is φ = 288076800.

The previous prime is 1131047959. The next prime is 1131048011. The reversal of 1131048000 is 8401311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655659 + ... + 1656341.

Almost surely, 2^1131048000 is an apocalyptic number.

1131048000 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 1131048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114019648).

1131048000 is an abundant number, since it is smaller than the sum of its proper divisors (3096991296).

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

1131048000 is a wasteful number, since it uses less digits than its factorization.

1131048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1131048000 is about 33631.0570752690. The cubic root of 1131048000 is about 1041.9023367217.

Adding to 1131048000 its reverse (8401311), we get a palindrome (1139449311).

It can be divided in two parts, 113104 and 8000, that added together give a square (121104 = 348²).

The spelling of 1131048000 in words is "one billion, one hundred thirty-one million, forty-eight thousand".