1188134640 has 480 divisors, whose sum is σ = 5153241600. Its totient is φ = 238049280.

The previous prime is 1188134617. The next prime is 1188134671. The reversal of 1188134640 is 464318811.

It is a happy number.

1188134640 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 1 + 3 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1188134595 and 1188134604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607391 + ... + 1608129.

It is an arithmetic number, because the mean of its divisors is an integer number (10735920).

Almost surely, 2^1188134640 is an apocalyptic number.

1188134640 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 1188134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576620800).

1188134640 is an abundant number, since it is smaller than the sum of its proper divisors (3965106960).

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

1188134640 is a wasteful number, since it uses less digits than its factorization.

1188134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1188134640 is about 34469.3289751918. The cubic root of 1188134640 is about 1059.1445097009.

The spelling of 1188134640 in words is "one billion, one hundred eighty-eight million, one hundred thirty-four thousand, six hundred forty".