114508736 has 84 divisors (see below), whose sum is σ = 248905776. Its totient is φ = 52224000.

The previous prime is 114508721. The next prime is 114508739. The reversal of 114508736 is 637805411.

It is a super-2 number, since 2×114508736² = 26224501240635392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114508696 and 114508705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114508739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758261 + ... + 758411.

It is an arithmetic number, because the mean of its divisors is an integer number (2963164).

Almost surely, 2^114508736 is an apocalyptic number.

114508736 is a gapful number since it is divisible by the number (16) 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 114508736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124452888).

114508736 is an abundant number, since it is smaller than the sum of its proper divisors (134397040).

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

114508736 is a wasteful number, since it uses less digits than its factorization.

114508736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 114508736 is about 10700.8754782027. The cubic root of 114508736 is about 485.6009640392.

The spelling of 114508736 in words is "one hundred fourteen million, five hundred eight thousand, seven hundred thirty-six".