239136 has 48 divisors (see below), whose sum is σ = 653184. Its totient is φ = 76544.

The previous prime is 239119. The next prime is 239137. The reversal of 239136 is 631932.

It is a tau number, because it is divible by the number of its divisors (48).

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 a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 239136.

It is not an unprimeable number, because it can be changed into a prime (239137) by changing a digit.

239136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4486 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2²³⁹¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592).

239136 is an abundant number, since it is smaller than the sum of its proper divisors (414048).

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

239136 is a wasteful number, since it uses less digits than its factorization.

239136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 239136 is about 489.0153371828. The cubic root of 239136 is about 62.0699868712.

The spelling of 239136 in words is "two hundred thirty-nine thousand, one hundred thirty-six".