115065000 has 120 divisors (see below), whose sum is σ = 389570610. Its totient is φ = 30672000.

The previous prime is 115064981. The next prime is 115065017. The reversal of 115065000 is 560511.

115065000 is a `hidden beast` number, since 1 + 15 + 0 + 650 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 617796 + 114447204 = 786^2 + 10698^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43722 + ... + 46278.

Almost surely, 2^115065000 is an apocalyptic number.

115065000 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 115065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194785305).

115065000 is an abundant number, since it is smaller than the sum of its proper divisors (274505610).

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

115065000 is a wasteful number, since it uses less digits than its factorization.

115065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 115065000 is about 10726.8355072687. The cubic root of 115065000 is about 486.3860165395.

The spelling of 115065000 in words is "one hundred fifteen million, sixty-five thousand".