1133634120 has 256 divisors, whose sum is σ = 3864983040. Its totient is φ = 264388608.

The previous prime is 1133634113. The next prime is 1133634149. The reversal of 1133634120 is 214363311.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1735714 + ... + 1736366.

It is an arithmetic number, because the mean of its divisors is an integer number (15097590).

Almost surely, 2^1133634120 is an apocalyptic number.

1133634120 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 1133634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932491520).

1133634120 is an abundant number, since it is smaller than the sum of its proper divisors (2731348920).

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

1133634120 is a wasteful number, since it uses less digits than its factorization.

1133634120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1133634120 is about 33669.4835125221. The cubic root of 1133634120 is about 1042.6958289655.

Adding to 1133634120 its reverse (214363311), we get a palindrome (1347997431).

The spelling of 1133634120 in words is "one billion, one hundred thirty-three million, six hundred thirty-four thousand, one hundred twenty".