1153324144 has 80 divisors (see below), whose sum is σ = 2684828160. Its totient is φ = 469244160.

The previous prime is 1153324141. The next prime is 1153324157. The reversal of 1153324144 is 4414233511.

It is a super-2 number, since 2×1153324144² = 2660313162266665472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153324141) 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, 356454 + ... + 359674.

It is an arithmetic number, because the mean of its divisors is an integer number (33560352).

Almost surely, 2^1153324144 is an apocalyptic number.

1153324144 is a gapful number since it is divisible by the number (14) 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 1153324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342414080).

1153324144 is an abundant number, since it is smaller than the sum of its proper divisors (1531504016).

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

1153324144 is a wasteful number, since it uses less digits than its factorization.

1153324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3392 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 1153324144 is about 33960.6263782045. The cubic root of 1153324144 is about 1048.6980519245.

Adding to 1153324144 its reverse (4414233511), we get a palindrome (5567557655).

The spelling of 1153324144 in words is "one billion, one hundred fifty-three million, three hundred twenty-four thousand, one hundred forty-four".