114825312 has 72 divisors (see below), whose sum is σ = 373188816. Its totient is φ = 32806656.

The previous prime is 114825307. The next prime is 114825313. The reversal of 114825312 is 213528411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114825313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26463 + ... + 30494.

It is an arithmetic number, because the mean of its divisors is an integer number (5183178).

Almost surely, 2^114825312 is an apocalyptic number.

114825312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114825312 is an abundant number, since it is smaller than the sum of its proper divisors (258363504).

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

114825312 is a wasteful number, since it uses less digits than its factorization.

114825312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56980 (or 56969 counting only the distinct ones).

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

The square root of 114825312 is about 10715.6573293476. The cubic root of 114825312 is about 486.0480570270.

The spelling of 114825312 in words is "one hundred fourteen million, eight hundred twenty-five thousand, three hundred twelve".