213124140 has 144 divisors (see below), whose sum is σ = 688353120. Its totient is φ = 53222400.

The previous prime is 213124123. The next prime is 213124147. The reversal of 213124140 is 41421312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213124147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345112 + ... + 345728.

It is an arithmetic number, because the mean of its divisors is an integer number (4780230).

Almost surely, 2^213124140 is an apocalyptic number.

213124140 is a gapful number since it is divisible by the number (20) 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 213124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344176560).

213124140 is an abundant number, since it is smaller than the sum of its proper divisors (475228980).

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

213124140 is a wasteful number, since it uses less digits than its factorization.

213124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213124140 is about 14598.7718661537. The cubic root of 213124140 is about 597.3252606674.

Adding to 213124140 its reverse (41421312), we get a palindrome (254545452).

It can be divided in two parts, 21312 and 4140, that added together give a palindrome (25452).

The spelling of 213124140 in words is "two hundred thirteen million, one hundred twenty-four thousand, one hundred forty".