42133800 has 48 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 11235520.

The previous prime is 42133799. The next prime is 42133801. The reversal of 42133800 is 833124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42133799) and next prime (42133801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34512 + ... + 35711.

It is an arithmetic number, because the mean of its divisors is an integer number (2721180).

Almost surely, 2^42133800 is an apocalyptic number.

42133800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42133800 is an abundant number, since it is smaller than the sum of its proper divisors (88482840).

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

42133800 is a wasteful number, since it uses less digits than its factorization.

42133800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70242 (or 70233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42133800 is about 6491.0553841421. The cubic root of 42133800 is about 347.9713941343.

Adding to 42133800 its reverse (833124), we get a palindrome (42966924).

The spelling of 42133800 in words is "forty-two million, one hundred thirty-three thousand, eight hundred".