1153768900 has 18 divisors (see below), whose sum is σ = 2503678730. Its totient is φ = 461507520.

The previous prime is 1153768897. The next prime is 1153768921. The reversal of 1153768900 is 98673511.

It can be written as a sum of positive squares in 3 ways, for example, as 380484036 + 773284864 = 19506^2 + 27808^2 .

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 5 ways as a sum of consecutive naturals, for example, 5768745 + ... + 5768944.

Almost surely, 2^1153768900 is an apocalyptic number.

1153768900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153768900 is an abundant number, since it is smaller than the sum of its proper divisors (1349909830).

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

1153768900 is a wasteful number, since it uses less digits than its factorization.

1153768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11537703 (or 11537696 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 1153768900 is about 33967.1738594779. The cubic root of 1153768900 is about 1048.8328376253.

The spelling of 1153768900 in words is "one billion, one hundred fifty-three million, seven hundred sixty-eight thousand, nine hundred".