1135454736 has 80 divisors (see below), whose sum is σ = 3187046016. Its totient is φ = 346257408.

The previous prime is 1135454729. The next prime is 1135454737. The reversal of 1135454736 is 6374545311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1135454694 and 1135454703.

It is not an unprimeable number, because it can be changed into a prime (1135454737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62461 + ... + 78563.

Almost surely, 2^1135454736 is an apocalyptic number.

1135454736 is a gapful number since it is divisible by the number (16) 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 1135454736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593523008).

1135454736 is an abundant number, since it is smaller than the sum of its proper divisors (2051591280).

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

1135454736 is a wasteful number, since it uses less digits than its factorization.

1135454736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16234 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 1135454736 is about 33696.5092554110. The cubic root of 1135454736 is about 1043.2537201265.

The spelling of 1135454736 in words is "one billion, one hundred thirty-five million, four hundred fifty-four thousand, seven hundred thirty-six".