119328768 has 208 divisors, whose sum is σ = 385304640. Its totient is φ = 36274176.

The previous prime is 119328757. The next prime is 119328779. The reversal of 119328768 is 867823911.

It is an interprime number because it is at equal distance from previous prime (119328757) and next prime (119328779).

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437655 + ... + 1437737.

Almost surely, 2^119328768 is an apocalyptic number.

119328768 is a gapful number since it is divisible by the number (18) 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 119328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192652320).

119328768 is an abundant number, since it is smaller than the sum of its proper divisors (265975872).

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

119328768 is an equidigital number, since it uses as much as digits as its factorization.

119328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 119328768 is about 10923.7707775292. The cubic root of 119328768 is about 492.3210278439.

The spelling of 119328768 in words is "one hundred nineteen million, three hundred twenty-eight thousand, seven hundred sixty-eight".