114271920 has 360 divisors, whose sum is σ = 463095360. Its totient is φ = 25159680.

The previous prime is 114271897. The next prime is 114271931. The reversal of 114271920 is 29172411.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1446441 + ... + 1446519.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^114271920 is an apocalyptic number.

114271920 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 114271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

114271920 is an abundant number, since it is smaller than the sum of its proper divisors (348823440).

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

114271920 is a wasteful number, since it uses less digits than its factorization.

114271920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114271920 is about 10689.8044883899. The cubic root of 114271920 is about 485.2659752016.

The spelling of 114271920 in words is "one hundred fourteen million, two hundred seventy-one thousand, nine hundred twenty".