114878736 has 240 divisors, whose sum is σ = 394111680. Its totient is φ = 32332608.

The previous prime is 114878717. The next prime is 114878737. The reversal of 114878736 is 637878411.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 114878691 and 114878700.

It is not an unprimeable number, because it can be changed into a prime (114878737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714575 + ... + 1714641.

It is an arithmetic number, because the mean of its divisors is an integer number (1642132).

Almost surely, 2^114878736 is an apocalyptic number.

114878736 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 114878736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197055840).

114878736 is an abundant number, since it is smaller than the sum of its proper divisors (279232944).

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

114878736 is an frugal number, since it uses more digits than its factorization.

114878736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 114878736 is about 10718.1498403409. The cubic root of 114878736 is about 486.1234254421.

The spelling of 114878736 in words is "one hundred fourteen million, eight hundred seventy-eight thousand, seven hundred thirty-six".