39135000 has 80 divisors (see below), whose sum is σ = 122304600. Its totient is φ = 10432000.

The previous prime is 39134981. The next prime is 39135001. The reversal of 39135000 is 53193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39135001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 13696 + ... + 16304.

Almost surely, 2^39135000 is an apocalyptic number.

39135000 is a gapful number since it is divisible by the number (30) 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 39135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152300).

39135000 is an abundant number, since it is smaller than the sum of its proper divisors (83169600).

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

39135000 is a wasteful number, since it uses less digits than its factorization.

39135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 39135000 is about 6255.7973112945. The cubic root of 39135000 is about 339.5119873031.

Adding to 39135000 its reverse (53193), we get a palindrome (39188193).

The spelling of 39135000 in words is "thirty-nine million, one hundred thirty-five thousand".