114845040 has 200 divisors, whose sum is σ = 410509440. Its totient is φ = 29735424.

The previous prime is 114844991. The next prime is 114845057. The reversal of 114845040 is 40548411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114844995 and 114845013.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 239521 + ... + 239999.

Almost surely, 2^114845040 is an apocalyptic number.

114845040 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 114845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254720).

114845040 is an abundant number, since it is smaller than the sum of its proper divisors (295664400).

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

114845040 is a wasteful number, since it uses less digits than its factorization.

114845040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 114845040 is about 10716.5778119696. The cubic root of 114845040 is about 486.0758912122.

The spelling of 114845040 in words is "one hundred fourteen million, eight hundred forty-five thousand, forty".