213208146144 has 432 divisors, whose sum is σ = 749867161680. Its totient is φ = 57131827200.

The previous prime is 213208146143. The next prime is 213208146149. The reversal of 213208146144 is 441641802312.

213208146144 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 8 + 14 + 614 + 4 = 666.

It is a super-2 number, since 2×213208146144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213208146099 and 213208146108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213208146143) 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 71 ways as a sum of consecutive naturals, for example, 27076992 + ... + 27084864.

It is an arithmetic number, because the mean of its divisors is an integer number (1735803615).

Almost surely, 2^213208146144 is an apocalyptic number.

213208146144 is a gapful number since it is divisible by the number (24) 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 213208146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374933580840).

213208146144 is an abundant number, since it is smaller than the sum of its proper divisors (536659015536).

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

213208146144 is a wasteful number, since it uses less digits than its factorization.

213208146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 213208146144 its reverse (441641802312), we get a palindrome (654849948456).

The spelling of 213208146144 in words is "two hundred thirteen billion, two hundred eight million, one hundred forty-six thousand, one hundred forty-four".