1135312400 has 30 divisors (see below), whose sum is σ = 2727589002. Its totient is φ = 454124800.

The previous prime is 1135312369. The next prime is 1135312433. The reversal of 1135312400 is 42135311.

It can be written as a sum of positive squares in 3 ways, for example, as 46840336 + 1088472064 = 6844^2 + 32992^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1418741 + ... + 1419540.

Almost surely, 2^1135312400 is an apocalyptic number.

1135312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135312400 is an abundant number, since it is smaller than the sum of its proper divisors (1592276602).

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

1135312400 is a wasteful number, since it uses less digits than its factorization.

1135312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838299 (or 2838288 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1135312400 is about 33694.3971603589. The cubic root of 1135312400 is about 1043.2101256200.

Adding to 1135312400 its reverse (42135311), we get a palindrome (1177447711).

The spelling of 1135312400 in words is "one billion, one hundred thirty-five million, three hundred twelve thousand, four hundred".