1188134920 has 192 divisors, whose sum is σ = 3304177920. Its totient is φ = 375817728.

The previous prime is 1188134903. The next prime is 1188134921. The reversal of 1188134920 is 294318811.

It is a self number, because there is not a number n which added to its sum of digits gives 1188134920.

It is not an unprimeable number, because it can be changed into a prime (1188134921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20137851 + ... + 20137909.

It is an arithmetic number, because the mean of its divisors is an integer number (17209260).

Almost surely, 2^1188134920 is an apocalyptic number.

1188134920 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 1188134920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652088960).

1188134920 is an abundant number, since it is smaller than the sum of its proper divisors (2116043000).

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

1188134920 is a wasteful number, since it uses less digits than its factorization.

1188134920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 1188134920 is about 34469.3330367734. Note that the first 3 decimals coincide. The cubic root of 1188134920 is about 1059.1445929014.

The spelling of 1188134920 in words is "one billion, one hundred eighty-eight million, one hundred thirty-four thousand, nine hundred twenty".