1152041136 has 80 divisors (see below), whose sum is σ = 3150691200. Its totient is φ = 361718784.

The previous prime is 1152041123. The next prime is 1152041147. The reversal of 1152041136 is 6311402511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159720 + ... + 166776.

It is an arithmetic number, because the mean of its divisors is an integer number (39383640).

Almost surely, 2^1152041136 is an apocalyptic number.

1152041136 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 1152041136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575345600).

1152041136 is an abundant number, since it is smaller than the sum of its proper divisors (1998650064).

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

1152041136 is a wasteful number, since it uses less digits than its factorization.

1152041136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1152041136 is about 33941.7314820561. The cubic root of 1152041136 is about 1048.3090351760.

Adding to 1152041136 its reverse (6311402511), we get a palindrome (7463443647).

The spelling of 1152041136 in words is "one billion, one hundred fifty-two million, forty-one thousand, one hundred thirty-six".