1133535120 has 120 divisors (see below), whose sum is σ = 3556760448. Its totient is φ = 298636800.

The previous prime is 1133535107. The next prime is 1133535191. The reversal of 1133535120 is 215353311.

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2448009 + ... + 2448471.

Almost surely, 2^1133535120 is an apocalyptic number.

1133535120 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 1133535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778380224).

1133535120 is an abundant number, since it is smaller than the sum of its proper divisors (2423225328).

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

1133535120 is a wasteful number, since it uses less digits than its factorization.

1133535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1133535120 is about 33668.0133064011. The cubic root of 1133535120 is about 1042.6654752884.

Adding to 1133535120 its reverse (215353311), we get a palindrome (1348888431).

The spelling of 1133535120 in words is "one billion, one hundred thirty-three million, five hundred thirty-five thousand, one hundred twenty".