115351120 has 80 divisors (see below), whose sum is σ = 287459280. Its totient is φ = 42893312.

The previous prime is 115351111. The next prime is 115351127. The reversal of 115351120 is 21153511.

115351120 = T₃₆₀ + T₃₆₁ + ... + T₉₀₃.

It can be written as a sum of positive squares in 8 ways, for example, as 1971216 + 113379904 = 1404^2 + 10648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120564 + ... + 121516.

It is an arithmetic number, because the mean of its divisors is an integer number (3593241).

Almost surely, 2^115351120 is an apocalyptic number.

115351120 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 115351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143729640).

115351120 is an abundant number, since it is smaller than the sum of its proper divisors (172108160).

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

115351120 is a wasteful number, since it uses less digits than its factorization.

115351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 115351120 is about 10740.1638721204. The cubic root of 115351120 is about 486.7888311149.

The spelling of 115351120 in words is "one hundred fifteen million, three hundred fifty-one thousand, one hundred twenty".