114165120 has 128 divisors (see below), whose sum is σ = 368252640. Its totient is φ = 30081024.

The previous prime is 114165113. The next prime is 114165131. The reversal of 114165120 is 21561411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×114165120² = 26067349249228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185934 + ... + 186546.

Almost surely, 2^114165120 is an apocalyptic number.

114165120 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 114165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184126320).

114165120 is an abundant number, since it is smaller than the sum of its proper divisors (254087520).

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

114165120 is an equidigital number, since it uses as much as digits as its factorization.

114165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 114165120 is about 10684.8079065559. The cubic root of 114165120 is about 485.1147494808.

The spelling of 114165120 in words is "one hundred fourteen million, one hundred sixty-five thousand, one hundred twenty".