1154120320 has 64 divisors (see below), whose sum is σ = 2764630440. Its totient is φ = 460718080.

The previous prime is 1154120311. The next prime is 1154120351. The reversal of 1154120320 is 230214511.

It can be written as a sum of positive squares in 4 ways, for example, as 1145687104 + 8433216 = 33848^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378000 + ... + 381040.

Almost surely, 2^1154120320 is an apocalyptic number.

1154120320 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 1154120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382315220).

1154120320 is an abundant number, since it is smaller than the sum of its proper divisors (1610510120).

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

1154120320 is an equidigital number, since it uses as much as digits as its factorization.

1154120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1154120320 is about 33972.3464011540. The cubic root of 1154120320 is about 1048.9393128535.

Adding to 1154120320 its reverse (230214511), we get a palindrome (1384334831).

It can be divided in two parts, 1154120 and 320, that added together give a triangular number (1154440 = T₁₅₁₉).

The spelling of 1154120320 in words is "one billion, one hundred fifty-four million, one hundred twenty thousand, three hundred twenty".