136359838166256 has 720 divisors, whose sum is σ = 419888595409920. Its totient is φ = 42837564718080.

The previous prime is 136359838166213. The next prime is 136359838166273. The reversal of 136359838166256 is 652661838953631.

136359838166256 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 598 + 3 + 8 + 1 + 6 + 6 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19405125015 + ... + 19405132041.

It is an arithmetic number, because the mean of its divisors is an integer number (583178604736).

Almost surely, 2^{136359838166256} is an apocalyptic number.

136359838166256 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 136359838166256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209944297704960).

136359838166256 is an abundant number, since it is smaller than the sum of its proper divisors (283528757243664).

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

136359838166256 is an frugal number, since it uses more digits than its factorization.

136359838166256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7219 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 136359838166256 in words is "one hundred thirty-six trillion, three hundred fifty-nine billion, eight hundred thirty-eight million, one hundred sixty-six thousand, two hundred fifty-six".