213075138276 has 576 divisors, whose sum is σ = 751509158400. Its totient is φ = 50801541120.

The previous prime is 213075138229. The next prime is 213075138293. The reversal of 213075138276 is 672831570312.

213075138276 is a `hidden beast` number, since 2 + 130 + 75 + 1 + 382 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 277080420 + ... + 277081188.

It is an arithmetic number, because the mean of its divisors is an integer number (1304703400).

Almost surely, 2^213075138276 is an apocalyptic number.

213075138276 is a gapful number since it is divisible by the number (26) 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 213075138276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375754579200).

213075138276 is an abundant number, since it is smaller than the sum of its proper divisors (538434020124).

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

213075138276 is a wasteful number, since it uses less digits than its factorization.

213075138276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 213075138276 in words is "two hundred thirteen billion, seventy-five million, one hundred thirty-eight thousand, two hundred seventy-six".