136378663200 has 720 divisors, whose sum is σ = 541449798120. Its totient is φ = 33204142080.

The previous prime is 136378663193. The next prime is 136378663207. The reversal of 136378663200 is 2366873631.

136378663200 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 7 + 8 + 6 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136378663193) and next prime (136378663207).

It can be written as a sum of positive squares in 12 ways, for example, as 297355536 + 136081307664 = 17244^2 + 368892^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (136378663207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81711966 + ... + 81713634.

Almost surely, 2^136378663200 is an apocalyptic number.

136378663200 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 136378663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270724899060).

136378663200 is an abundant number, since it is smaller than the sum of its proper divisors (405071134920).

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

136378663200 is a wasteful number, since it uses less digits than its factorization.

136378663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 136378663200 in words is "one hundred thirty-six billion, three hundred seventy-eight million, six hundred sixty-three thousand, two hundred".