213126144 has 352 divisors, whose sum is σ = 764038656. Its totient is φ = 51118080.

The previous prime is 213126143. The next prime is 213126157. The reversal of 213126144 is 441621312.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213126143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4021222 + ... + 4021274.

Almost surely, 2^213126144 is an apocalyptic number.

213126144 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 213126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382019328).

213126144 is an abundant number, since it is smaller than the sum of its proper divisors (550912512).

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

213126144 is a wasteful number, since it uses less digits than its factorization.

213126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 213126144 is about 14598.8405019029. The cubic root of 213126144 is about 597.3271328721.

Adding to 213126144 its reverse (441621312), we get a palindrome (654747456).

The spelling of 213126144 in words is "two hundred thirteen million, one hundred twenty-six thousand, one hundred forty-four".