136782315180000 has 3600 divisors, whose sum is σ = 633523539448800. Its totient is φ = 27876731904000.

The previous prime is 136782315179947. The next prime is 136782315180073. The reversal of 136782315180000 is 81513287631.

It is a happy number.

136782315180000 is a `hidden beast` number, since 1 + 36 + 78 + 2 + 31 + 518 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 599 ways as a sum of consecutive naturals, for example, 7199069219991 + ... + 7199069220009.

It is an arithmetic number, because the mean of its divisors is an integer number (175978760958).

Almost surely, 2^{136782315180000} is an apocalyptic number.

136782315180000 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 136782315180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316761769724400).

136782315180000 is an abundant number, since it is smaller than the sum of its proper divisors (496741224268800).

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

136782315180000 is an frugal number, since it uses more digits than its factorization.

136782315180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 136782315180000 in words is "one hundred thirty-six trillion, seven hundred eighty-two billion, three hundred fifteen million, one hundred eighty thousand".