1133132400 has 360 divisors, whose sum is σ = 4147276224. Its totient is φ = 286156800.

The previous prime is 1133132387. The next prime is 1133132411. The reversal of 1133132400 is 42313311.

1133132400 is a `hidden beast` number, since 1 + 133 + 132 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6260310 + ... + 6260490.

Almost surely, 2^1133132400 is an apocalyptic number.

1133132400 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 1133132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073638112).

1133132400 is an abundant number, since it is smaller than the sum of its proper divisors (3014143824).

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

1133132400 is a wasteful number, since it uses less digits than its factorization.

1133132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133132400 is about 33662.0320242258. The cubic root of 1133132400 is about 1042.5419819886.

Adding to 1133132400 its reverse (42313311), we get a palindrome (1175445711).

The spelling of 1133132400 in words is "one billion, one hundred thirty-three million, one hundred thirty-two thousand, four hundred".