114107136 has 144 divisors (see below), whose sum is σ = 357127680. Its totient is φ = 31887360.

The previous prime is 114107131. The next prime is 114107143. The reversal of 114107136 is 631701411.

It is a super-2 number, since 2×114107136² = 26040876972244992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114107131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109305 + ... + 110343.

Almost surely, 2^114107136 is an apocalyptic number.

114107136 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 114107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178563840).

114107136 is an abundant number, since it is smaller than the sum of its proper divisors (243020544).

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

114107136 is a wasteful number, since it uses less digits than its factorization.

114107136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 114107136 is about 10682.0941767052. The cubic root of 114107136 is about 485.0326063033.

Adding to 114107136 its reverse (631701411), we get a palindrome (745808547).

The spelling of 114107136 in words is "one hundred fourteen million, one hundred seven thousand, one hundred thirty-six".