1153554144 has 192 divisors, whose sum is σ = 3437199360. Its totient is φ = 336821760.

The previous prime is 1153554137. The next prime is 1153554161. The reversal of 1153554144 is 4414553511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300069 + ... + 1300955.

It is an arithmetic number, because the mean of its divisors is an integer number (17902080).

Almost surely, 2^1153554144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718599680).

1153554144 is an abundant number, since it is smaller than the sum of its proper divisors (2283645216).

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

1153554144 is a wasteful number, since it uses less digits than its factorization.

1153554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 965 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 1153554144 is about 33964.0124838041. The cubic root of 1153554144 is about 1048.7677589886.

The spelling of 1153554144 in words is "one billion, one hundred fifty-three million, five hundred fifty-four thousand, one hundred forty-four".