1153414120 has 64 divisors (see below), whose sum is σ = 2716571520. Its totient is φ = 439912704.

The previous prime is 1153414109. The next prime is 1153414123. The reversal of 1153414120 is 214143511.

It is a junction number, because it is equal to n+sod(n) for n = 1153414091 and 1153414100.

It is not an unprimeable number, because it can be changed into a prime (1153414123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317434 + ... + 321046.

It is an arithmetic number, because the mean of its divisors is an integer number (42446430).

Almost surely, 2^1153414120 is an apocalyptic number.

1153414120 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 1153414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358285760).

1153414120 is an abundant number, since it is smaller than the sum of its proper divisors (1563157400).

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

1153414120 is a wasteful number, since it uses less digits than its factorization.

1153414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1153414120 is about 33961.9510629175. The cubic root of 1153414120 is about 1048.7253224314.

Adding to 1153414120 its reverse (214143511), we get a palindrome (1367557631).

The spelling of 1153414120 in words is "one billion, one hundred fifty-three million, four hundred fourteen thousand, one hundred twenty".