114565136 has 60 divisors (see below), whose sum is σ = 271835280. Its totient is φ = 46509120.

The previous prime is 114565127. The next prime is 114565169. The reversal of 114565136 is 631565411.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11051 + ... + 18741.

It is an arithmetic number, because the mean of its divisors is an integer number (4530588).

Almost surely, 2^114565136 is an apocalyptic number.

114565136 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 114565136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135917640).

114565136 is an abundant number, since it is smaller than the sum of its proper divisors (157270144).

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

114565136 is a wasteful number, since it uses less digits than its factorization.

114565136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7719 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 114565136 is about 10703.5104521834. The cubic root of 114565136 is about 485.6806767320.

The spelling of 114565136 in words is "one hundred fourteen million, five hundred sixty-five thousand, one hundred thirty-six".