136288300512 has 576 divisors, whose sum is σ = 475917120000. Its totient is φ = 34025951232.

The previous prime is 136288300507. The next prime is 136288300517. The reversal of 136288300512 is 215003882631.

It is an interprime number because it is at equal distance from previous prime (136288300507) and next prime (136288300517).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136288300517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105731164 + ... + 105732452.

It is an arithmetic number, because the mean of its divisors is an integer number (826245000).

Almost surely, 2^136288300512 is an apocalyptic number.

136288300512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136288300512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237958560000).

136288300512 is an abundant number, since it is smaller than the sum of its proper divisors (339628819488).

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

136288300512 is a wasteful number, since it uses less digits than its factorization.

136288300512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 136288300512 in words is "one hundred thirty-six billion, two hundred eighty-eight million, three hundred thousand, five hundred twelve".