67135000 has 80 divisors (see below), whose sum is σ = 163072800. Its totient is φ = 25872000.

The previous prime is 67134967. The next prime is 67135001. The reversal of 67135000 is 53176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67135001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144769 + ... + 145231.

It is an arithmetic number, because the mean of its divisors is an integer number (2038410).

Almost surely, 2^67135000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81536400).

67135000 is an abundant number, since it is smaller than the sum of its proper divisors (95937800).

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

67135000 is a wasteful number, since it uses less digits than its factorization.

67135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 67135000 is about 8193.5950595572. The cubic root of 67135000 is about 406.4274175759.

Adding to 67135000 its reverse (53176), we get a palindrome (67188176).

The spelling of 67135000 in words is "sixty-seven million, one hundred thirty-five thousand".