1134800240 has 160 divisors (see below), whose sum is σ = 3094087680. Its totient is φ = 379072512.

The previous prime is 1134800221. The next prime is 1134800267. The reversal of 1134800240 is 420084311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4999007 + ... + 4999233.

It is an arithmetic number, because the mean of its divisors is an integer number (19338048).

Almost surely, 2^1134800240 is an apocalyptic number.

1134800240 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 1134800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547043840).

1134800240 is an abundant number, since it is smaller than the sum of its proper divisors (1959287440).

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

1134800240 is a wasteful number, since it uses less digits than its factorization.

1134800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1134800240 is about 33686.7962264149. The cubic root of 1134800240 is about 1043.0532316935.

Adding to 1134800240 its reverse (420084311), we get a palindrome (1554884551).

The spelling of 1134800240 in words is "one billion, one hundred thirty-four million, eight hundred thousand, two hundred forty".