87137136100 has 81 divisors (see below), whose sum is σ = 220011200283. Its totient is φ = 29868504960.

The previous prime is 87137136077. The next prime is 87137136133. The reversal of 87137136100 is 163173178.

It is a happy number.

The square root of 87137136100 is 295190.

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 7761962404 + 79375173696 = 88102^2 + 281736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87137136100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20661192 + ... + 20665408.

Almost surely, 2^87137136100 is an apocalyptic number.

87137136100 is the 295190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87137136100

87137136100 is an abundant number, since it is smaller than the sum of its proper divisors (132874064183).

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

87137136100 is an equidigital number, since it uses as much as digits as its factorization.

87137136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 87137136100 in words is "eighty-seven billion, one hundred thirty-seven million, one hundred thirty-six thousand, one hundred".