1153545120 has 288 divisors, whose sum is σ = 4845439872. Its totient is φ = 243357696.

The previous prime is 1153545103. The next prime is 1153545131. The reversal of 1153545120 is 215453511.

1153545120 is a `hidden beast` number, since 1 + 1 + 535 + 4 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126639 + ... + 135441.

It is an arithmetic number, because the mean of its divisors is an integer number (16824444).

Almost surely, 2^1153545120 is an apocalyptic number.

1153545120 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 1153545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422719936).

1153545120 is an abundant number, since it is smaller than the sum of its proper divisors (3691894752).

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

1153545120 is a wasteful number, since it uses less digits than its factorization.

1153545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8833 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1153545120 is about 33963.8796370497. The cubic root of 1153545120 is about 1048.7650242217.

Adding to 1153545120 its reverse (215453511), we get a palindrome (1368998631).

The spelling of 1153545120 in words is "one billion, one hundred fifty-three million, five hundred forty-five thousand, one hundred twenty".