115351128 has 128 divisors (see below), whose sum is σ = 342432000. Its totient is φ = 36321696.

The previous prime is 115351127. The next prime is 115351151. The reversal of 115351128 is 821153511.

115351128 is a `hidden beast` number, since 1 + 1 + 535 + 1 + 128 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115351127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332251 + ... + 332597.

It is an arithmetic number, because the mean of its divisors is an integer number (2675250).

Almost surely, 2^115351128 is an apocalyptic number.

115351128 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 115351128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171216000).

115351128 is an abundant number, since it is smaller than the sum of its proper divisors (227080872).

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

115351128 is an equidigital number, since it uses as much as digits as its factorization.

115351128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 115351128 is about 10740.1642445542. The cubic root of 115351128 is about 486.7888423684.

The spelling of 115351128 in words is "one hundred fifteen million, three hundred fifty-one thousand, one hundred twenty-eight".