1152115600 has 60 divisors (see below), whose sum is σ = 2783594160. Its totient is φ = 458243200.

The previous prime is 1152115577. The next prime is 1152115631. The reversal of 1152115600 is 65112511.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63555 + ... + 79645.

It is an arithmetic number, because the mean of its divisors is an integer number (46393236).

Almost surely, 2^1152115600 is an apocalyptic number.

1152115600 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 1152115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391797080).

1152115600 is an abundant number, since it is smaller than the sum of its proper divisors (1631478560).

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

1152115600 is a wasteful number, since it uses less digits than its factorization.

1152115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16288 (or 16277 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 1152115600 is about 33942.8284030662. The cubic root of 1152115600 is about 1048.3316210600.

The spelling of 1152115600 in words is "one billion, one hundred fifty-two million, one hundred fifteen thousand, six hundred".