115461120 has 88 divisors (see below), whose sum is σ = 369344304. Its totient is φ = 30785536.

The previous prime is 115461103. The next prime is 115461121. The reversal of 115461120 is 21164511.

It is not an unprimeable number, because it can be changed into a prime (115461121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11602 + ... + 19118.

Almost surely, 2^115461120 is an apocalyptic number.

115461120 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 115461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184672152).

115461120 is an abundant number, since it is smaller than the sum of its proper divisors (253883184).

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

115461120 is an equidigital number, since it uses as much as digits as its factorization.

115461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 115461120 is about 10745.2836165454. The cubic root of 115461120 is about 486.9435175468.

The spelling of 115461120 in words is "one hundred fifteen million, four hundred sixty-one thousand, one hundred twenty".