136643662123024 has 135 divisors (see below), whose sum is σ = 313931378067447. Its totient is φ = 57449339980032.

The previous prime is 136643662122893. The next prime is 136643662123147. The reversal of 136643662123024 is 420321266346631.

The square root of 136643662123024 is 11689468.

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 3279967300624 + 133363694822400 = 1811068^2 + 11548320^2 .

It is a super-2 number, since 2×136643662123024² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17347166574 + ... + 17347174450.

Almost surely, 2^{136643662123024} is an apocalyptic number.

136643662123024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136643662123024 is the 11689468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136643662123024

136643662123024 is an abundant number, since it is smaller than the sum of its proper divisors (177287715944423).

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

136643662123024 is an frugal number, since it uses more digits than its factorization.

136643662123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15882 (or 7939 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 49.

136643662123024 divided by its sum of digits (49) gives a square (2788646165776 = 1669924²).

The spelling of 136643662123024 in words is "one hundred thirty-six trillion, six hundred forty-three billion, six hundred sixty-two million, one hundred twenty-three thousand, twenty-four".