213415105140 has 144 divisors (see below), whose sum is σ = 667473782976. Its totient is φ = 55162598400.

The previous prime is 213415105129. The next prime is 213415105181. The reversal of 213415105140 is 41501514312.

213415105140 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 510 + 5 + 140 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908700 + ... + 1119180.

It is an arithmetic number, because the mean of its divisors is an integer number (4635234604).

Almost surely, 2^213415105140 is an apocalyptic number.

213415105140 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 213415105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333736891488).

213415105140 is an abundant number, since it is smaller than the sum of its proper divisors (454058677836).

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

213415105140 is a wasteful number, since it uses less digits than its factorization.

213415105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210670 (or 210665 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 213415105140 its reverse (41501514312), we get a palindrome (254916619452).

The spelling of 213415105140 in words is "two hundred thirteen billion, four hundred fifteen million, one hundred five thousand, one hundred forty".