136805736990720 has 1536 divisors, whose sum is σ = 532183841280000. Its totient is φ = 29307467464704.

The previous prime is 136805736990653. The next prime is 136805736990779. The reversal of 136805736990720 is 27099637508631.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×136805736990720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268773549826 + ... + 268773550334.

It is an arithmetic number, because the mean of its divisors is an integer number (346473855000).

Almost surely, 2^{136805736990720} is an apocalyptic number.

136805736990720 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 136805736990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266091920640000).

136805736990720 is an abundant number, since it is smaller than the sum of its proper divisors (395378104289280).

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

136805736990720 is a wasteful number, since it uses less digits than its factorization.

136805736990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 136805736990720 in words is "one hundred thirty-six trillion, eight hundred five billion, seven hundred thirty-six million, nine hundred ninety thousand, seven hundred twenty".