42133000 has 128 divisors (see below), whose sum is σ = 121605120. Its totient is φ = 13305600.

The previous prime is 42132997. The next prime is 42133001. The reversal of 42133000 is 33124.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133001) 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, 90769 + ... + 91231.

It is an arithmetic number, because the mean of its divisors is an integer number (950040).

Almost surely, 2^42133000 is an apocalyptic number.

42133000 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 42133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60802560).

42133000 is an abundant number, since it is smaller than the sum of its proper divisors (79472120).

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

42133000 is a wasteful number, since it uses less digits than its factorization.

42133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 42133000 is about 6490.9937605886. The cubic root of 42133000 is about 347.9691917942.

Adding to 42133000 its reverse (33124), we get a palindrome (42166124).

The spelling of 42133000 in words is "forty-two million, one hundred thirty-three thousand".