114759040 has 64 divisors (see below), whose sum is σ = 299304720. Its totient is φ = 41728000.

The previous prime is 114759019. The next prime is 114759049. The reversal of 114759040 is 40957411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 114758993 and 114759011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114759049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111 + ... + 15190.

Almost surely, 2^114759040 is an apocalyptic number.

114759040 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 114759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149652360).

114759040 is an abundant number, since it is smaller than the sum of its proper divisors (184545680).

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

114759040 is a wasteful number, since it uses less digits than its factorization.

114759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16331 (or 16319 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 114759040 is about 10712.5645855696. The cubic root of 114759040 is about 485.9545306804.

The spelling of 114759040 in words is "one hundred fourteen million, seven hundred fifty-nine thousand, forty".