114001920 has 144 divisors (see below), whose sum is σ = 395429580. Its totient is φ = 30375936.

The previous prime is 114001891. The next prime is 114001933. The reversal of 114001920 is 29100411.

It can be written as a sum of positive squares in 2 ways, for example, as 113550336 + 451584 = 10656^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 114001893 and 114001902.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91542 + ... + 92778.

Almost surely, 2^114001920 is an apocalyptic number.

114001920 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 114001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197714790).

114001920 is an abundant number, since it is smaller than the sum of its proper divisors (281427660).

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

114001920 is a wasteful number, since it uses less digits than its factorization.

114001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1247 counting only the distinct ones).

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

The square root of 114001920 is about 10677.1681638906. The cubic root of 114001920 is about 484.8834807063.

It can be divided in two parts, 114001 and 920, that added together give a square (114921 = 339²).

The spelling of 114001920 in words is "one hundred fourteen million, one thousand, nine hundred twenty".