136261853107200 has 396 divisors, whose sum is σ = 495163773755040. Its totient is φ = 35794154373120.

The previous prime is 136261853107151. The next prime is 136261853107229. The reversal of 136261853107200 is 2701358162631.

It is a happy number.

136261853107200 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 618 + 5 + 3 + 1 + 0 + 7 + 20 + 0 = 666.

It is a super-2 number, since 2×136261853107200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11023261 + ... + 19850339.

Almost surely, 2^{136261853107200} is an apocalyptic number.

136261853107200 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 136261853107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247581886877520).

136261853107200 is an abundant number, since it is smaller than the sum of its proper divisors (358901920647840).

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

136261853107200 is a wasteful number, since it uses less digits than its factorization.

136261853107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827182 (or 8827156 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 136261853107200 in words is "one hundred thirty-six trillion, two hundred sixty-one billion, eight hundred fifty-three million, one hundred seven thousand, two hundred".