1135425600 has 210 divisors, whose sum is σ = 4174015274. Its totient is φ = 302745600.

The previous prime is 1135425589. The next prime is 1135425607. The reversal of 1135425600 is 65245311.

1135425600 is a `hidden beast` number, since 1 + 1 + 3 + 54 + 2 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 1135420416 = 72^2 + 33696^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1135425607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125220 + ... + 133980.

Almost surely, 2^1135425600 is an apocalyptic number.

1135425600 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 1135425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087007637).

1135425600 is an abundant number, since it is smaller than the sum of its proper divisors (3038589674).

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

1135425600 is an equidigital number, since it uses as much as digits as its factorization.

1135425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1135425600 is about 33696.0769229891. The cubic root of 1135425600 is about 1043.2447966825.

The spelling of 1135425600 in words is "one billion, one hundred thirty-five million, four hundred twenty-five thousand, six hundred".