136866312000 has 1344 divisors, whose sum is σ = 567447379200. Its totient is φ = 31180800000.

The previous prime is 136866311999. The next prime is 136866312007. The reversal of 136866312000 is 213668631.

136866312000 is a `hidden beast` number, since 1 + 368 + 66 + 31 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136866312007) 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 191 ways as a sum of consecutive naturals, for example, 1355111950 + ... + 1355112050.

Almost surely, 2^136866312000 is an apocalyptic number.

136866312000 is a gapful number since it is divisible by the number (10) 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 136866312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283723689600).

136866312000 is an abundant number, since it is smaller than the sum of its proper divisors (430581067200).

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

136866312000 is a wasteful number, since it uses less digits than its factorization.

136866312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 13686631 and 2000, that added together give a palindrome (13688631).

The spelling of 136866312000 in words is "one hundred thirty-six billion, eight hundred sixty-six million, three hundred twelve thousand".