114359520 has 192 divisors, whose sum is σ = 398442240. Its totient is φ = 27568640.

The previous prime is 114359513. The next prime is 114359549. The reversal of 114359520 is 25953411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638791 + ... + 638969.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 2^114359520 is an apocalyptic number.

114359520 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 114359520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

114359520 is an abundant number, since it is smaller than the sum of its proper divisors (284082720).

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

114359520 is a wasteful number, since it uses less digits than its factorization.

114359520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 114359520 is about 10693.9010655607. The cubic root of 114359520 is about 485.3899439527.

The spelling of 114359520 in words is "one hundred fourteen million, three hundred fifty-nine thousand, five hundred twenty".