114815232 has 270 divisors, whose sum is σ = 401777838. Its totient is φ = 32514048.

The previous prime is 114815231. The next prime is 114815249. The reversal of 114815232 is 232518411.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 49787136 = 8064^2 + 7056^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114815196 and 114815205.

It is not an unprimeable number, because it can be changed into a prime (114815231) by changing a digit.

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, 1016008 + ... + 1016120.

Almost surely, 2^114815232 is an apocalyptic number.

114815232 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 114815232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200888919).

114815232 is an abundant number, since it is smaller than the sum of its proper divisors (286962606).

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

114815232 is an equidigital number, since it uses as much as digits as its factorization.

114815232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 114815232 is about 10715.1869792365. The cubic root of 114815232 is about 486.0338339500.

The spelling of 114815232 in words is "one hundred fourteen million, eight hundred fifteen thousand, two hundred thirty-two".