87134719821604 has 405 divisors, whose sum is σ = 205099198649331. Its totient is φ = 32367905256960.

The previous prime is 87134719821551. The next prime is 87134719821613. The reversal of 87134719821604 is 40612891743178.

It is a happy number.

The square root of 87134719821604 is 9334598.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 786765452004 + 86347954369600 = 886998^2 + 9292360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 202168723269 + ... + 202168723699.

Almost surely, 2^{87134719821604} is an apocalyptic number.

87134719821604 is the 9334598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87134719821604

87134719821604 is an abundant number, since it is smaller than the sum of its proper divisors (117964478827727).

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

87134719821604 is an equidigital number, since it uses as much as digits as its factorization.

87134719821604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 87134719821604 in words is "eighty-seven trillion, one hundred thirty-four billion, seven hundred nineteen million, eight hundred twenty-one thousand, six hundred four".