1152153600 has 288 divisors, whose sum is σ = 4108955760. Its totient is φ = 283115520.

The previous prime is 1152153553. The next prime is 1152153643. The reversal of 1152153600 is 63512511.

1152153600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1996512 + ... + 1997088.

Almost surely, 2^1152153600 is an apocalyptic number.

1152153600 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 1152153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054477880).

1152153600 is an abundant number, since it is smaller than the sum of its proper divisors (2956802160).

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

1152153600 is a wasteful number, since it uses less digits than its factorization.

1152153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1152153600 is about 33943.3881632344. The cubic root of 1152153600 is about 1048.3431465711.

The spelling of 1152153600 in words is "one billion, one hundred fifty-two million, one hundred fifty-three thousand, six hundred".