1153144520 has 96 divisors (see below), whose sum is σ = 2885009400. Its totient is φ = 414458880.

The previous prime is 1153144513. The next prime is 1153144543. The reversal of 1153144520 is 254413511.

It can be written as a sum of positive squares in 4 ways, for example, as 385965316 + 767179204 = 19646^2 + 27698^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1153144520.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429422 + ... + 432098.

Almost surely, 2^1153144520 is an apocalyptic number.

1153144520 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 1153144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442504700).

1153144520 is an abundant number, since it is smaller than the sum of its proper divisors (1731864880).

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

1153144520 is a wasteful number, since it uses less digits than its factorization.

1153144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1153144520 is about 33957.9816832508. The cubic root of 1153144520 is about 1048.6436060806.

The spelling of 1153144520 in words is "one billion, one hundred fifty-three million, one hundred forty-four thousand, five hundred twenty".