114657120 has 168 divisors, whose sum is σ = 406543536. Its totient is φ = 30544128.

The previous prime is 114657107. The next prime is 114657121. The reversal of 114657120 is 21756411.

It is a happy number.

114657120 is a `hidden beast` number, since 1 + 1 + 4 + 657 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114657121) 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 27 ways as a sum of consecutive naturals, for example, 116149 + ... + 117131.

It is an arithmetic number, because the mean of its divisors is an integer number (2419902).

Almost surely, 2^114657120 is an apocalyptic number.

114657120 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 114657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203271768).

114657120 is an abundant number, since it is smaller than the sum of its proper divisors (291886416).

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

114657120 is an frugal number, since it uses more digits than its factorization.

114657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 114657120 is about 10707.8064980649. The cubic root of 114657120 is about 485.8106258067.

The spelling of 114657120 in words is "one hundred fourteen million, six hundred fifty-seven thousand, one hundred twenty".