212139648 has 320 divisors, whose sum is σ = 750393600. Its totient is φ = 58226688.

The previous prime is 212139637. The next prime is 212139661. The reversal of 212139648 is 846931212.

212139648 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 9 + 648 = 666.

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.

Its product of digits (20736) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2685273 + ... + 2685351.

It is an arithmetic number, because the mean of its divisors is an integer number (2344980).

Almost surely, 2^212139648 is an apocalyptic number.

212139648 is a gapful number since it is divisible by the number (28) 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 212139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375196800).

212139648 is an abundant number, since it is smaller than the sum of its proper divisors (538253952).

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

212139648 is an equidigital number, since it uses as much as digits as its factorization.

212139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 212139648 is about 14565.0145211050. The cubic root of 212139648 is about 596.4040921305.

The spelling of 212139648 in words is "two hundred twelve million, one hundred thirty-nine thousand, six hundred forty-eight".