114523920 has 240 divisors, whose sum is σ = 454351872. Its totient is φ = 25297920.

The previous prime is 114523909. The next prime is 114523931. The reversal of 114523920 is 29325411.

114523920 is a `hidden beast` number, since 114 + 523 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (114523909) and next prime (114523931).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155874 + ... + 156606.

Almost surely, 2^114523920 is an apocalyptic number.

114523920 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 114523920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227175936).

114523920 is an abundant number, since it is smaller than the sum of its proper divisors (339827952).

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

114523920 is a wasteful number, since it uses less digits than its factorization.

114523920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114523920 is about 10701.5849293457. The cubic root of 114523920 is about 485.6224268534.

The spelling of 114523920 in words is "one hundred fourteen million, five hundred twenty-three thousand, nine hundred twenty".