213154235144000 has 112 divisors (see below), whose sum is σ = 540751499857296. Its totient is φ = 83182140416000.

The previous prime is 213154235143939. The next prime is 213154235144009. The reversal of 213154235144000 is 441532451312.

It can be written as a sum of positive squares in 8 ways, for example, as 76917530629696 + 136236704514304 = 8770264^2 + 11672048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213154235144009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324602237 + ... + 325258236.

It is an arithmetic number, because the mean of its divisors is an integer number (4828138391583).

Almost surely, 2^{213154235144000} is an apocalyptic number.

213154235144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213154235144000 is an abundant number, since it is smaller than the sum of its proper divisors (327597264713296).

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

213154235144000 is an equidigital number, since it uses as much as digits as its factorization.

213154235144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649860541 (or 649860521 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 213154235144000 its reverse (441532451312), we get a palindrome (213595767595312).

The spelling of 213154235144000 in words is "two hundred thirteen trillion, one hundred fifty-four billion, two hundred thirty-five million, one hundred forty-four thousand".