114353520 has 80 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 30345472.

The previous prime is 114353507. The next prime is 114353521. The reversal of 114353520 is 25353411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114353521) 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 15 ways as a sum of consecutive naturals, for example, 53431 + ... + 55529.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^114353520 is an apocalyptic number.

114353520 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 114353520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

114353520 is an abundant number, since it is smaller than the sum of its proper divisors (241873680).

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

114353520 is a wasteful number, since it uses less digits than its factorization.

114353520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 114353520 is about 10693.6205281467. The cubic root of 114353520 is about 485.3814549623.

The spelling of 114353520 in words is "one hundred fourteen million, three hundred fifty-three thousand, five hundred twenty".