114174720 has 432 divisors, whose sum is σ = 464903712. Its totient is φ = 25559040.

The previous prime is 114174707. The next prime is 114174751. The reversal of 114174720 is 27471411.

114174720 = 193² + 194² + ... + 704².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154214 + ... + 2154266.

It is an arithmetic number, because the mean of its divisors is an integer number (1076166).

Almost surely, 2^114174720 is an apocalyptic number.

114174720 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 114174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232451856).

114174720 is an abundant number, since it is smaller than the sum of its proper divisors (350728992).

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

114174720 is a wasteful number, since it uses less digits than its factorization.

114174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 114174720 is about 10685.2571330783. The cubic root of 114174720 is about 485.1283466608.

The spelling of 114174720 in words is "one hundred fourteen million, one hundred seventy-four thousand, seven hundred twenty".