1134736400 has 240 divisors, whose sum is σ = 3409781760. Its totient is φ = 353894400.

The previous prime is 1134736397. The next prime is 1134736403. The reversal of 1134736400 is 46374311.

It is an interprime number because it is at equal distance from previous prime (1134736397) and next prime (1134736403).

It is not an unprimeable number, because it can be changed into a prime (1134736403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475216 + ... + 1475984.

It is an arithmetic number, because the mean of its divisors is an integer number (14207424).

Almost surely, 2^1134736400 is an apocalyptic number.

1134736400 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 1134736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704890880).

1134736400 is an abundant number, since it is smaller than the sum of its proper divisors (2275045360).

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

1134736400 is a wasteful number, since it uses less digits than its factorization.

1134736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1134736400 is about 33685.8486608249. The cubic root of 1134736400 is about 1043.0336717848.

The spelling of 1134736400 in words is "one billion, one hundred thirty-four million, seven hundred thirty-six thousand, four hundred".