136108165449600 has 960 divisors, whose sum is σ = 506917041840000. Its totient is φ = 36109795645440.

The previous prime is 136108165449559. The next prime is 136108165449643. The reversal of 136108165449600 is 6944561801631.

136108165449600 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 0 + 8 + 1 + 6 + 544 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12534128971 + ... + 12534139829.

It is an arithmetic number, because the mean of its divisors is an integer number (528038585250).

Almost surely, 2^{136108165449600} is an apocalyptic number.

136108165449600 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 136108165449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253458520920000).

136108165449600 is an abundant number, since it is smaller than the sum of its proper divisors (370808876390400).

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

136108165449600 is an frugal number, since it uses more digits than its factorization.

136108165449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 136108165449600 in words is "one hundred thirty-six trillion, one hundred eight billion, one hundred sixty-five million, four hundred forty-nine thousand, six hundred".