114587136 has 140 divisors (see below), whose sum is σ = 344386812. Its totient is φ = 38071296.

The previous prime is 114587111. The next prime is 114587159. The reversal of 114587136 is 631785411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114587136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373095 + ... + 373401.

Almost surely, 2^114587136 is an apocalyptic number.

114587136 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 114587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172193406).

114587136 is an abundant number, since it is smaller than the sum of its proper divisors (229799676).

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

114587136 is an frugal number, since it uses more digits than its factorization.

114587136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 114587136 is about 10704.5381030664. The cubic root of 114587136 is about 485.7117632428.

The spelling of 114587136 in words is "one hundred fourteen million, five hundred eighty-seven thousand, one hundred thirty-six".