115178112 has 288 divisors, whose sum is σ = 410635680. Its totient is φ = 31477248.

The previous prime is 115178093. The next prime is 115178137. The reversal of 115178112 is 211871511.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (560) is a multiple of the sum of its prime divisors (35).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5007733 + ... + 5007755.

Almost surely, 2^115178112 is an apocalyptic number.

115178112 is a gapful number since it is divisible by the number (12) 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 115178112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205317840).

115178112 is an abundant number, since it is smaller than the sum of its proper divisors (295457568).

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

115178112 is an frugal number, since it uses more digits than its factorization.

115178112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 35 counting only the distinct ones).

The product of its digits is 560, while the sum is 27.

The square root of 115178112 is about 10732.1065965634. The cubic root of 115178112 is about 486.5453412038.

The spelling of 115178112 in words is "one hundred fifteen million, one hundred seventy-eight thousand, one hundred twelve".