114052160 has 56 divisors (see below), whose sum is σ = 278242776. Its totient is φ = 44503040.

The previous prime is 114052123. The next prime is 114052187. The reversal of 114052160 is 61250411.

It can be written as a sum of positive squares in 4 ways, for example, as 6390784 + 107661376 = 2528^2 + 10376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8774 + ... + 17466.

It is an arithmetic number, because the mean of its divisors is an integer number (4968621).

Almost surely, 2^114052160 is an apocalyptic number.

114052160 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 114052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139121388).

114052160 is an abundant number, since it is smaller than the sum of its proper divisors (164190616).

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

114052160 is an equidigital number, since it uses as much as digits as its factorization.

114052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 114052160 is about 10679.5205884909. The cubic root of 114052160 is about 484.9546987128.

The spelling of 114052160 in words is "one hundred fourteen million, fifty-two thousand, one hundred sixty".