213848140 has 72 divisors (see below), whose sum is σ = 499254336. Its totient is φ = 76876800.

The previous prime is 213848111. The next prime is 213848143. The reversal of 213848140 is 41848312.

It is not an unprimeable number, because it can be changed into a prime (213848143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234285 + ... + 235195.

It is an arithmetic number, because the mean of its divisors is an integer number (6934088).

Almost surely, 2^213848140 is an apocalyptic number.

213848140 is a gapful number since it is divisible by the number (20) 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 213848140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249627168).

213848140 is an abundant number, since it is smaller than the sum of its proper divisors (285406196).

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

213848140 is a wasteful number, since it uses less digits than its factorization.

213848140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 213848140 is about 14623.5474492341. The cubic root of 213848140 is about 598.0008836577. Note that the first 3 decimals are identical.

The spelling of 213848140 in words is "two hundred thirteen million, eight hundred forty-eight thousand, one hundred forty".