114131160 has 256 divisors, whose sum is σ = 447552000. Its totient is φ = 25505280.

The previous prime is 114131141. The next prime is 114131189. The reversal of 114131160 is 61131411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154071 + ... + 154809.

It is an arithmetic number, because the mean of its divisors is an integer number (1748250).

Almost surely, 2^114131160 is an apocalyptic number.

114131160 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 114131160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223776000).

114131160 is an abundant number, since it is smaller than the sum of its proper divisors (333420840).

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

114131160 is a wasteful number, since it uses less digits than its factorization.

114131160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 114131160 is about 10683.2186161288. The cubic root of 114131160 is about 485.0666433380.

Adding to 114131160 its reverse (61131411), we get a palindrome (175262571).

The spelling of 114131160 in words is "one hundred fourteen million, one hundred thirty-one thousand, one hundred sixty".