213654135120 has 160 divisors (see below), whose sum is σ = 703585027200. Its totient is φ = 53480466432.

The previous prime is 213654135119. The next prime is 213654135137. The reversal of 213654135120 is 21531456312.

213654135120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282114 + ... + 711966.

It is an arithmetic number, because the mean of its divisors is an integer number (4397406420).

Almost surely, 2^213654135120 is an apocalyptic number.

213654135120 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 213654135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351792513600).

213654135120 is an abundant number, since it is smaller than the sum of its proper divisors (489930892080).

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

213654135120 is a wasteful number, since it uses less digits than its factorization.

213654135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429997 (or 429991 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 213654135120 in words is "two hundred thirteen billion, six hundred fifty-four million, one hundred thirty-five thousand, one hundred twenty".