1134153600 has 384 divisors, whose sum is σ = 3998791680. Its totient is φ = 282009600.

The previous prime is 1134153599. The next prime is 1134153619. The reversal of 1134153600 is 63514311.

1134153600 = T₄₁ + T₄₂ + ... + T₁₈₉₄.

It is a tau number, because it is divible by the number of its divisors (384).

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, 11011149 + ... + 11011251.

It is an arithmetic number, because the mean of its divisors is an integer number (10413520).

Almost surely, 2^1134153600 is an apocalyptic number.

1134153600 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 1134153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999395840).

1134153600 is an abundant number, since it is smaller than the sum of its proper divisors (2864638080).

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

1134153600 is a wasteful number, since it uses less digits than its factorization.

1134153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1134153600 is about 33677.1970330074. The cubic root of 1134153600 is about 1042.8550740293.

Adding to 1134153600 its reverse (63514311), we get a palindrome (1197667911).

The spelling of 1134153600 in words is "one billion, one hundred thirty-four million, one hundred fifty-three thousand, six hundred".