114353120 has 48 divisors (see below), whose sum is σ = 308756448. Its totient is φ = 39206400.

The previous prime is 114353117. The next prime is 114353123. The reversal of 114353120 is 21353411.

It is an interprime number because it is at equal distance from previous prime (114353117) and next prime (114353123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114353092 and 114353101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114353123) 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 7 ways as a sum of consecutive naturals, for example, 49931 + ... + 52170.

It is an arithmetic number, because the mean of its divisors is an integer number (6432426).

Almost surely, 2^114353120 is an apocalyptic number.

114353120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114353120 is an abundant number, since it is smaller than the sum of its proper divisors (194403328).

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

114353120 is a wasteful number, since it uses less digits than its factorization.

114353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102123 (or 102115 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 114353120 is about 10693.6018253907. The cubic root of 114353120 is about 485.3808890190.

The spelling of 114353120 in words is "one hundred fourteen million, three hundred fifty-three thousand, one hundred twenty".