1135354000 has 80 divisors (see below), whose sum is σ = 2994915456. Its totient is φ = 412848000.

The previous prime is 1135353997. The next prime is 1135354007. The reversal of 1135354000 is 4535311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1135354007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3804 + ... + 47803.

Almost surely, 2^1135354000 is an apocalyptic number.

1135354000 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 1135354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497457728).

1135354000 is an abundant number, since it is smaller than the sum of its proper divisors (1859561456).

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

1135354000 is a wasteful number, since it uses less digits than its factorization.

1135354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51641 (or 51625 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1135354000 is about 33695.0144680189. The cubic root of 1135354000 is about 1043.2228671970. Note that the first 3 decimals are identical.

Adding to 1135354000 its reverse (4535311), we get a palindrome (1139889311).

The spelling of 1135354000 in words is "one billion, one hundred thirty-five million, three hundred fifty-four thousand".