114696144 has 60 divisors (see below), whose sum is σ = 339878916. Its totient is φ = 35982336.

The previous prime is 114696139. The next prime is 114696157. The reversal of 114696144 is 441696411.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 49280400 = 8088^2 + 7020^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114696099 and 114696108.

It is a congruent number.

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, 20979 + ... + 25874.

Almost surely, 2^114696144 is an apocalyptic number.

It is an amenable number.

114696144 is an abundant number, since it is smaller than the sum of its proper divisors (225182772).

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

114696144 is a wasteful number, since it uses less digits than its factorization.

114696144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46884 (or 46875 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 114696144 is about 10709.6285649877. The cubic root of 114696144 is about 485.8657354049.

The spelling of 114696144 in words is "one hundred fourteen million, six hundred ninety-six thousand, one hundred forty-four".