1133555200 has 240 divisors, whose sum is σ = 3044448000. Its totient is φ = 416931840.

The previous prime is 1133555191. The next prime is 1133555209. The reversal of 1133555200 is 25553311.

It is an interprime number because it is at equal distance from previous prime (1133555191) and next prime (1133555209).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133555209) 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, 14348761 + ... + 14348839.

It is an arithmetic number, because the mean of its divisors is an integer number (12685200).

Almost surely, 2^1133555200 is an apocalyptic number.

1133555200 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 1133555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522224000).

1133555200 is an abundant number, since it is smaller than the sum of its proper divisors (1910892800).

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

1133555200 is an equidigital number, since it uses as much as digits as its factorization.

1133555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 1133555200 is about 33668.3115109742. The cubic root of 1133555200 is about 1042.6716320155.

The spelling of 1133555200 in words is "one billion, one hundred thirty-three million, five hundred fifty-five thousand, two hundred".