114953742 has 40 divisors (see below), whose sum is σ = 258746400. Its totient is φ = 38144736.

The previous prime is 114953737. The next prime is 114953759. The reversal of 114953742 is 247359411.

114953742 is a `hidden beast` number, since 114 + 9 + 537 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114953697 and 114953706.

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 19 ways as a sum of consecutive naturals, for example, 37234 + ... + 40202.

It is an arithmetic number, because the mean of its divisors is an integer number (6468660).

Almost surely, 2^114953742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114953742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129373200).

114953742 is an abundant number, since it is smaller than the sum of its proper divisors (143792658).

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

114953742 is a wasteful number, since it uses less digits than its factorization.

114953742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3213 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 114953742 is about 10721.6482874603. The cubic root of 114953742 is about 486.2292014463.

The spelling of 114953742 in words is "one hundred fourteen million, nine hundred fifty-three thousand, seven hundred forty-two".