115280000 has 160 divisors (see below), whose sum is σ = 315461520. Its totient is φ = 41600000.

The previous prime is 115279963. The next prime is 115280027. The reversal of 115280000 is 82511.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 879935 + ... + 880065.

Almost surely, 2^115280000 is an apocalyptic number.

115280000 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 115280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157730760).

115280000 is an abundant number, since it is smaller than the sum of its proper divisors (200181520).

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

115280000 is an equidigital number, since it uses as much as digits as its factorization.

115280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 115280000 is about 10736.8524251756. The cubic root of 115280000 is about 486.6887669537.

It can be divided in two parts, 1152 and 80000, that multiplied together give a square (92160000 = 9600²).

The spelling of 115280000 in words is "one hundred fifteen million, two hundred eighty thousand".