1153135200 has 144 divisors (see below), whose sum is σ = 4289725440. Its totient is φ = 263569920.

The previous prime is 1153135183. The next prime is 1153135201. The reversal of 1153135200 is 25313511.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153135201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17520 + ... + 51119.

It is an arithmetic number, because the mean of its divisors is an integer number (29789760).

Almost surely, 2^1153135200 is an apocalyptic number.

1153135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153135200 is an abundant number, since it is smaller than the sum of its proper divisors (3136590240).

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

1153135200 is a wasteful number, since it uses less digits than its factorization.

1153135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68669 (or 68656 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1153135200 is about 33957.8444545587. The cubic root of 1153135200 is about 1048.6407809404.

Adding to 1153135200 its reverse (25313511), we get a palindrome (1178448711).

The spelling of 1153135200 in words is "one billion, one hundred fifty-three million, one hundred thirty-five thousand, two hundred".