136287965584 has 135 divisors (see below), whose sum is σ = 288418518921. Its totient is φ = 62375301120.

The previous prime is 136287965563. The next prime is 136287965623. The reversal of 136287965584 is 485569782631.

The square root of 136287965584 is 369172.

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

It can be written as a sum of positive squares in 13 ways, for example, as 133444090000 + 2843875584 = 365300^2 + 53328^2 .

It is a super-2 number, since 2×136287965584² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 1531325412 + ... + 1531325500.

Almost surely, 2^136287965584 is an apocalyptic number.

136287965584 is the 369172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136287965584

136287965584 is an abundant number, since it is smaller than the sum of its proper divisors (152130553337).

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

136287965584 is an frugal number, since it uses more digits than its factorization.

136287965584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 169 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 64.

Multiplying 136287965584 by its sum of digits (64), we get a square (8722429797376 = 2953376²).

The spelling of 136287965584 in words is "one hundred thirty-six billion, two hundred eighty-seven million, nine hundred sixty-five thousand, five hundred eighty-four".