136903846920192 has 1728 divisors, whose sum is σ = 469924672089600. Its totient is φ = 39458942484480.

The previous prime is 136903846920187. The next prime is 136903846920221. The reversal of 136903846920192 is 291029648309631.

136903846920192 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 0 + 384 + 69 + 2 + 0 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764825960359 + ... + 764825960537.

It is an arithmetic number, because the mean of its divisors is an integer number (271947148200).

Almost surely, 2^{136903846920192} is an apocalyptic number.

136903846920192 is a gapful number since it is divisible by the number (12) 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 136903846920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234962336044800).

136903846920192 is an abundant number, since it is smaller than the sum of its proper divisors (333020825169408).

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

136903846920192 is an frugal number, since it uses more digits than its factorization.

136903846920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 136903846920192 in words is "one hundred thirty-six trillion, nine hundred three billion, eight hundred forty-six million, nine hundred twenty thousand, one hundred ninety-two".