136044337667456 has 128 divisors (see below), whose sum is σ = 278471542809600. Its totient is φ = 66180579942400.

The previous prime is 136044337667443. The next prime is 136044337667473. The reversal of 136044337667456 is 654766733440631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×136044337667456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136044337667392 and 136044337667401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664439465 + ... + 664644183.

It is an arithmetic number, because the mean of its divisors is an integer number (2175558928200).

Almost surely, 2^{136044337667456} is an apocalyptic number.

136044337667456 is a gapful number since it is divisible by the number (16) 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 136044337667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139235771404800).

136044337667456 is an abundant number, since it is smaller than the sum of its proper divisors (142427205142144).

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

136044337667456 is an equidigital number, since it uses as much as digits as its factorization.

136044337667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205768 (or 205756 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 65.

The spelling of 136044337667456 in words is "one hundred thirty-six trillion, forty-four billion, three hundred thirty-seven million, six hundred sixty-seven thousand, four hundred fifty-six".