114149736 has 168 divisors, whose sum is σ = 344524530. Its totient is φ = 35411904.

The previous prime is 114149731. The next prime is 114149741. The reversal of 114149736 is 637941411.

It is an interprime number because it is at equal distance from previous prime (114149731) and next prime (114149741).

It can be written as a sum of positive squares in only one way, i.e., 75585636 + 38564100 = 8694^2 + 6210^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 114149736.

It is not an unprimeable number, because it can be changed into a prime (114149731) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3085110 + ... + 3085146.

Almost surely, 2^114149736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114149736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172262265).

114149736 is an abundant number, since it is smaller than the sum of its proper divisors (230374794).

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

114149736 is an equidigital number, since it uses as much as digits as its factorization.

114149736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 114149736 is about 10684.0879816669. The cubic root of 114149736 is about 485.0929584103.

The spelling of 114149736 in words is "one hundred fourteen million, one hundred forty-nine thousand, seven hundred thirty-six".