213524142000 has 160 divisors (see below), whose sum is σ = 741356091840. Its totient is φ = 52559769600.

The previous prime is 213524141983. The next prime is 213524142077. The reversal of 213524142000 is 241425312.

213524142000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290745 + ... + 1446744.

It is an arithmetic number, because the mean of its divisors is an integer number (4633475574).

Almost surely, 2^213524142000 is an apocalyptic number.

213524142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213524142000 is an abundant number, since it is smaller than the sum of its proper divisors (527831949840).

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

213524142000 is a wasteful number, since it uses less digits than its factorization.

213524142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737528 (or 2737512 counting only the distinct ones).

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

Adding to 213524142000 its reverse (241425312), we get a palindrome (213765567312).

The spelling of 213524142000 in words is "two hundred thirteen billion, five hundred twenty-four million, one hundred forty-two thousand".