136886238720 has 1920 divisors, whose sum is σ = 647135723520. Its totient is φ = 25878528000.

The previous prime is 136886238677. The next prime is 136886238757. The reversal of 136886238720 is 27832688631.

136886238720 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 8 + 623 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1044933055 + ... + 1044933185.

It is an arithmetic number, because the mean of its divisors is an integer number (337049856).

Almost surely, 2^136886238720 is an apocalyptic number.

136886238720 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 136886238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323567861760).

136886238720 is an abundant number, since it is smaller than the sum of its proper divisors (510249484800).

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

136886238720 is a wasteful number, since it uses less digits than its factorization.

136886238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 136886238720 in words is "one hundred thirty-six billion, eight hundred eighty-six million, two hundred thirty-eight thousand, seven hundred twenty".