113920128 has 256 divisors, whose sum is σ = 408326400. Its totient is φ = 30523392.

The previous prime is 113920087. The next prime is 113920171. The reversal of 113920128 is 821029311.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 411126 + ... + 411402.

It is an arithmetic number, because the mean of its divisors is an integer number (1595025).

Almost surely, 2^113920128 is an apocalyptic number.

113920128 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 113920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204163200).

113920128 is an abundant number, since it is smaller than the sum of its proper divisors (294406272).

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

113920128 is a wasteful number, since it uses less digits than its factorization.

113920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113920128 is about 10673.3372475529. The cubic root of 113920128 is about 484.7674912031.

Adding to 113920128 its reverse (821029311), we get a palindrome (934949439).

The spelling of 113920128 in words is "one hundred thirteen million, nine hundred twenty thousand, one hundred twenty-eight".