114627136 has 56 divisors (see below), whose sum is σ = 246302784. Its totient is φ = 52615680.

The previous prime is 114627127. The next prime is 114627187. The reversal of 114627136 is 631726411.

It is a super-4 number, since 4×114627136⁴ (a number of 33 digits) contains 4444 as substring.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 114627098 and 114627107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258531 + ... + 258973.

It is an arithmetic number, because the mean of its divisors is an integer number (4398264).

Almost surely, 2^114627136 is an apocalyptic number.

114627136 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 114627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123151392).

114627136 is an abundant number, since it is smaller than the sum of its proper divisors (131675648).

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

114627136 is a wasteful number, since it uses less digits than its factorization.

114627136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 114627136 is about 10706.4063065064. The cubic root of 114627136 is about 485.7682739791.

It can be divided in two parts, 1146 and 27136, that added together give a palindrome (28282).

The spelling of 114627136 in words is "one hundred fourteen million, six hundred twenty-seven thousand, one hundred thirty-six".