42153200 has 60 divisors (see below), whose sum is σ = 107247600. Its totient is φ = 15866880.

The previous prime is 42153187. The next prime is 42153239. The reversal of 42153200 is 235124.

42153200 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3701 + ... + 9899.

It is an arithmetic number, because the mean of its divisors is an integer number (1787460).

Almost surely, 2^42153200 is an apocalyptic number.

42153200 is a gapful number since it is divisible by the number (40) 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 42153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53623800).

42153200 is an abundant number, since it is smaller than the sum of its proper divisors (65094400).

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

42153200 is a wasteful number, since it uses less digits than its factorization.

42153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 42153200 is about 6492.5495762451. The cubic root of 42153200 is about 348.0247923500.

Adding to 42153200 its reverse (235124), we get a palindrome (42388324).

The spelling of 42153200 in words is "forty-two million, one hundred fifty-three thousand, two hundred".