1135954800 has 240 divisors, whose sum is σ = 4085095680. Its totient is φ = 299784960.

The previous prime is 1135954741. The next prime is 1135954801. The reversal of 1135954800 is 84595311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135954801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155109 + ... + 1156091.

It is an arithmetic number, because the mean of its divisors is an integer number (17021232).

Almost surely, 2^1135954800 is an apocalyptic number.

1135954800 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 1135954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042547840).

1135954800 is an abundant number, since it is smaller than the sum of its proper divisors (2949140880).

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

1135954800 is a wasteful number, since it uses less digits than its factorization.

1135954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1135954800 is about 33703.9285543985. The cubic root of 1135954800 is about 1043.4068502762.

The spelling of 1135954800 in words is "one billion, one hundred thirty-five million, nine hundred fifty-four thousand, eight hundred".