115488180 has 126 divisors (see below), whose sum is σ = 367752966. Its totient is φ = 30450816.

The previous prime is 115488161. The next prime is 115488199. The reversal of 115488180 is 81884511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115488161) and next prime (115488199).

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 115476516 = 108^2 + 10746^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1297576 + ... + 1297664.

Almost surely, 2^115488180 is an apocalyptic number.

115488180 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 115488180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183876483).

115488180 is an abundant number, since it is smaller than the sum of its proper divisors (252264786).

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

115488180 is an frugal number, since it uses more digits than its factorization.

115488180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 115488180 is about 10746.5426998640. The cubic root of 115488180 is about 486.9815553508.

The spelling of 115488180 in words is "one hundred fifteen million, four hundred eighty-eight thousand, one hundred eighty".