1134012400 has 60 divisors (see below), whose sum is σ = 2757370392. Its totient is φ = 448126720.

The previous prime is 1134012367. The next prime is 1134012409. The reversal of 1134012400 is 42104311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134012409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16122 + ... + 50278.

Almost surely, 2^1134012400 is an apocalyptic number.

1134012400 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 1134012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378685196).

1134012400 is an abundant number, since it is smaller than the sum of its proper divisors (1623357992).

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

1134012400 is a wasteful number, since it uses less digits than its factorization.

1134012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34258 (or 34247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1134012400 is about 33675.1005937622. The cubic root of 1134012400 is about 1042.8117943983.

Adding to 1134012400 its reverse (42104311), we get a palindrome (1176116711).

The spelling of 1134012400 in words is "one billion, one hundred thirty-four million, twelve thousand, four hundred".