1135325400 has 288 divisors, whose sum is σ = 3989476800. Its totient is φ = 264864000.

The previous prime is 1135325393. The next prime is 1135325423. The reversal of 1135325400 is 45235311.

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 71 ways as a sum of consecutive naturals, for example, 6342511 + ... + 6342689.

It is an arithmetic number, because the mean of its divisors is an integer number (13852350).

Almost surely, 2^1135325400 is an apocalyptic number.

1135325400 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 1135325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994738400).

1135325400 is an abundant number, since it is smaller than the sum of its proper divisors (2854151400).

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

1135325400 is a wasteful number, since it uses less digits than its factorization.

1135325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1135325400 is about 33694.5900702175. The cubic root of 1135325400 is about 1043.2141073962.

The spelling of 1135325400 in words is "one billion, one hundred thirty-five million, three hundred twenty-five thousand, four hundred".