118456128 has 168 divisors, whose sum is σ = 405384000. Its totient is φ = 33820416.

The previous prime is 118456103. The next prime is 118456139. The reversal of 118456128 is 821654811.

118456128 is a `hidden beast` number, since 11 + 84 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 118456092 and 118456101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83973 + ... + 85371.

It is an arithmetic number, because the mean of its divisors is an integer number (2413000).

Almost surely, 2^118456128 is an apocalyptic number.

118456128 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 118456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202692000).

118456128 is an abundant number, since it is smaller than the sum of its proper divisors (286927872).

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

118456128 is a wasteful number, since it uses less digits than its factorization.

118456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1411 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 118456128 is about 10883.7552342930. The cubic root of 118456128 is about 491.1179914514.

The spelling of 118456128 in words is "one hundred eighteen million, four hundred fifty-six thousand, one hundred twenty-eight".