136709959680 has 1040 divisors, whose sum is σ = 572211989184. Its totient is φ = 30576476160.

The previous prime is 136709959679. The next prime is 136709959681. The reversal of 136709959680 is 86959907631.

136709959680 is a `hidden beast` number, since 1 + 36 + 7 + 0 + 9 + 9 + 596 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136709959679) and next prime (136709959681).

It is a super-2 number, since 2×136709959680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136709959681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 708341664 + ... + 708341856.

Almost surely, 2^136709959680 is an apocalyptic number.

136709959680 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 136709959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286105994592).

136709959680 is an abundant number, since it is smaller than the sum of its proper divisors (435502029504).

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

136709959680 is an equidigital number, since it uses as much as digits as its factorization.

136709959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 136709959680 in words is "one hundred thirty-six billion, seven hundred nine million, nine hundred fifty-nine thousand, six hundred eighty".