114005136 has 80 divisors (see below), whose sum is σ = 337978368. Its totient is φ = 32438400.

The previous prime is 114005113. The next prime is 114005161. The reversal of 114005136 is 631500411.

It is a super-3 number, since 3×114005136³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103951 + ... + 105041.

Almost surely, 2^114005136 is an apocalyptic number.

114005136 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 114005136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168989184).

114005136 is an abundant number, since it is smaller than the sum of its proper divisors (223973232).

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

114005136 is a wasteful number, since it uses less digits than its factorization.

114005136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 114005136 is about 10677.3187645588. The cubic root of 114005136 is about 484.8880401927. Note that the first 3 decimals are identical.

Adding to 114005136 its reverse (631500411), we get a palindrome (745505547).

The spelling of 114005136 in words is "one hundred fourteen million, five thousand, one hundred thirty-six".