87649155136 has 63 divisors (see below), whose sum is σ = 181932773421. Its totient is φ = 41893108224.

The previous prime is 87649155133. The next prime is 87649155149. The reversal of 87649155136 is 63155194678.

The square root of 87649155136 is 296056.

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

It can be written as a sum of positive squares in only one way, i.e., 85699049536 + 1950105600 = 292744^2 + 44160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87649155133) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54473500 + ... + 54475108.

Almost surely, 2^87649155136 is an apocalyptic number.

87649155136 is the 296056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87649155136

87649155136 is an abundant number, since it is smaller than the sum of its proper divisors (94283618285).

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

87649155136 is an frugal number, since it uses more digits than its factorization.

87649155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1634 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The spelling of 87649155136 in words is "eighty-seven billion, six hundred forty-nine million, one hundred fifty-five thousand, one hundred thirty-six".