1136352000 has 576 divisors, whose sum is σ = 4591641600. Its totient is φ = 243302400.

The previous prime is 1136351989. The next prime is 1136352011. The reversal of 1136352000 is 2536311.

It is an interprime number because it is at equal distance from previous prime (1136351989) and next prime (1136352011).

It is a super-3 number, since 3×1136352000³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12767956 + ... + 12768044.

It is an arithmetic number, because the mean of its divisors is an integer number (7971600).

Almost surely, 2^1136352000 is an apocalyptic number.

1136352000 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 1136352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295820800).

1136352000 is an abundant number, since it is smaller than the sum of its proper divisors (3455289600).

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

1136352000 is an equidigital number, since it uses as much as digits as its factorization.

1136352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1136352000 is about 33709.8205275555. The cubic root of 1136352000 is about 1043.5284492769.

Adding to 1136352000 its reverse (2536311), we get a palindrome (1138888311).

The spelling of 1136352000 in words is "one billion, one hundred thirty-six million, three hundred fifty-two thousand".