213045144 has 64 divisors (see below), whose sum is σ = 592112640. Its totient is φ = 63434880.

The previous prime is 213045137. The next prime is 213045163. The reversal of 213045144 is 441540312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342 + ... + 20685.

It is an arithmetic number, because the mean of its divisors is an integer number (9251760).

Almost surely, 2^213045144 is an apocalyptic number.

213045144 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 213045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296056320).

213045144 is an abundant number, since it is smaller than the sum of its proper divisors (379067496).

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

213045144 is a wasteful number, since it uses less digits than its factorization.

213045144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22080 (or 22076 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 213045144 is about 14596.0660453425. The cubic root of 213045144 is about 597.2514505749.

Adding to 213045144 its reverse (441540312), we get a palindrome (654585456).

It can be divided in two parts, 2130 and 45144, that added together give a palindrome (47274).

The spelling of 213045144 in words is "two hundred thirteen million, forty-five thousand, one hundred forty-four".