114146560 has 144 divisors (see below), whose sum is σ = 305226432. Its totient is φ = 40888320.

The previous prime is 114146537. The next prime is 114146573. The reversal of 114146560 is 65641411.

It is a congruent number.

It is an unprimeable number.

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, 1703647 + ... + 1703713.

It is an arithmetic number, because the mean of its divisors is an integer number (2119628).

Almost surely, 2^114146560 is an apocalyptic number.

114146560 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 114146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152613216).

114146560 is an abundant number, since it is smaller than the sum of its proper divisors (191079872).

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

114146560 is an frugal number, since it uses more digits than its factorization.

114146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 114146560 is about 10683.9393483864. The cubic root of 114146560 is about 485.0884594379.

Adding to 114146560 its reverse (65641411), we get a palindrome (179787971).

The spelling of 114146560 in words is "one hundred fourteen million, one hundred forty-six thousand, five hundred sixty".