136212664900 has 243 divisors, whose sum is σ = 342050658789. Its totient is φ = 47051996160.

The previous prime is 136212664897. The next prime is 136212664901. The reversal of 136212664900 is 9466212631.

The square root of 136212664900 is 369070.

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 99201061444 + 37011603456 = 314962^2 + 192384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136212664901) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 815644617 + ... + 815644783.

Almost surely, 2^136212664900 is an apocalyptic number.

136212664900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136212664900 is the 369070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136212664900

136212664900 is an abundant number, since it is smaller than the sum of its proper divisors (205837993889).

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

136212664900 is a wasteful number, since it uses less digits than its factorization.

136212664900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 136212664900 in words is "one hundred thirty-six billion, two hundred twelve million, six hundred sixty-four thousand, nine hundred".