114926000 has 80 divisors (see below), whose sum is σ = 317628480. Its totient is φ = 39398400.

The previous prime is 114925997. The next prime is 114926011. The reversal of 114926000 is 629411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9896 + ... + 18104.

It is an arithmetic number, because the mean of its divisors is an integer number (3970356).

Almost surely, 2^114926000 is an apocalyptic number.

114926000 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 114926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158814240).

114926000 is an abundant number, since it is smaller than the sum of its proper divisors (202702480).

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

114926000 is an equidigital number, since it uses as much as digits as its factorization.

114926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 114926000 is about 10720.3544717514. The cubic root of 114926000 is about 486.1900841007.

The spelling of 114926000 in words is "one hundred fourteen million, nine hundred twenty-six thousand".