1135134000 has 1200 divisors, whose sum is σ = 5603453856. Its totient is φ = 217728000.

The previous prime is 1135133999. The next prime is 1135134023. The reversal of 1135134000 is 4315311.

1135134000 is a `hidden beast` number, since 113 + 513 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 87317994 + ... + 87318006.

Almost surely, 2^1135134000 is an apocalyptic number.

1135134000 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 1135134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801726928).

1135134000 is an abundant number, since it is smaller than the sum of its proper divisors (4468319856).

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

1135134000 is a wasteful number, since it uses less digits than its factorization.

1135134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1135134000 is about 33691.7497319448. The cubic root of 1135134000 is about 1043.1554803272.

Adding to 1135134000 its reverse (4315311), we get a palindrome (1139449311).

The spelling of 1135134000 in words is "one billion, one hundred thirty-five million, one hundred thirty-four thousand".