1134409752 has 128 divisors (see below), whose sum is σ = 3612211200. Its totient is φ = 323136000.

The previous prime is 1134409709. The next prime is 1134409777. The reversal of 1134409752 is 2579044311.

It is a super-3 number, since 3×1134409752³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605377 + ... + 607247.

It is an arithmetic number, because the mean of its divisors is an integer number (28220400).

Almost surely, 2^1134409752 is an apocalyptic number.

1134409752 is a gapful number since it is divisible by the number (12) 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 1134409752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806105600).

1134409752 is an abundant number, since it is smaller than the sum of its proper divisors (2477801448).

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

1134409752 is a wasteful number, since it uses less digits than its factorization.

1134409752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1134409752 is about 33680.9998663935. Note that the first 3 decimals coincide. The cubic root of 1134409752 is about 1042.9335787705.

The spelling of 1134409752 in words is "one billion, one hundred thirty-four million, four hundred nine thousand, seven hundred fifty-two".