87135000 has 160 divisors (see below), whose sum is σ = 281347440. Its totient is φ = 22464000.

The previous prime is 87134989. The next prime is 87135011. The reversal of 87135000 is 53178.

It is an interprime number because it is at equal distance from previous prime (87134989) and next prime (87135011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 443.

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 39 ways as a sum of consecutive naturals, for example, 554922 + ... + 555078.

Almost surely, 2^87135000 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 87135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140673720).

87135000 is an abundant number, since it is smaller than the sum of its proper divisors (194212440).

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

87135000 is a wasteful number, since it uses less digits than its factorization.

87135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 87135000 is about 9334.6130075113. The cubic root of 87135000 is about 443.3338358422. Note that the first 3 decimals are identical.

Adding to 87135000 its reverse (53178), we get a palindrome (87188178).

The spelling of 87135000 in words is "eighty-seven million, one hundred thirty-five thousand".