213839136 has 144 divisors (see below), whose sum is σ = 725669280. Its totient is φ = 61084800.

The previous prime is 213839113. The next prime is 213839137. The reversal of 213839136 is 631938312.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213839136.

It is not an unprimeable number, because it can be changed into a prime (213839137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39811 + ... + 44861.

It is an arithmetic number, because the mean of its divisors is an integer number (5039370).

Almost surely, 2^213839136 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 213839136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362834640).

213839136 is an abundant number, since it is smaller than the sum of its proper divisors (511830144).

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

213839136 is a wasteful number, since it uses less digits than its factorization.

213839136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5063 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 213839136 is about 14623.2395863571. The cubic root of 213839136 is about 597.9924906683.

The spelling of 213839136 in words is "two hundred thirteen million, eight hundred thirty-nine thousand, one hundred thirty-six".