1155134400 has 336 divisors, whose sum is σ = 4474951680. Its totient is φ = 255283200.

The previous prime is 1155134399. The next prime is 1155134437. The reversal of 1155134400 is 44315511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041046 + ... + 1042154.

Almost surely, 2^1155134400 is an apocalyptic number.

1155134400 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 1155134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237475840).

1155134400 is an abundant number, since it is smaller than the sum of its proper divisors (3319817280).

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

1155134400 is a wasteful number, since it uses less digits than its factorization.

1155134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1155134400 is about 33987.2682044321. The cubic root of 1155134400 is about 1049.2464434492.

Adding to 1155134400 its reverse (44315511), we get a palindrome (1199449911).

The spelling of 1155134400 in words is "one billion, one hundred fifty-five million, one hundred thirty-four thousand, four hundred".