1152134400 has 216 divisors, whose sum is σ = 3969120960. Its totient is φ = 293765120.

The previous prime is 1152134393. The next prime is 1152134411. The reversal of 1152134400 is 44312511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440296 + ... + 442904.

It is an arithmetic number, because the mean of its divisors is an integer number (18375560).

Almost surely, 2^1152134400 is an apocalyptic number.

1152134400 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 1152134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984560480).

1152134400 is an abundant number, since it is smaller than the sum of its proper divisors (2816986560).

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

1152134400 is a wasteful number, since it uses less digits than its factorization.

1152134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1152134400 is about 33943.1053381979. The cubic root of 1152134400 is about 1048.3373231866.

Adding to 1152134400 its reverse (44312511), we get a palindrome (1196446911).

The spelling of 1152134400 in words is "one billion, one hundred fifty-two million, one hundred thirty-four thousand, four hundred".