136361388916704 has 384 divisors, whose sum is σ = 431026541568000. Its totient is φ = 37692397854720.

The previous prime is 136361388916693. The next prime is 136361388916723. The reversal of 136361388916704 is 407619883163631.

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 63 ways as a sum of consecutive naturals, for example, 3786010504 + ... + 3786046520.

It is an arithmetic number, because the mean of its divisors is an integer number (1122464952000).

Almost surely, 2^{136361388916704} is an apocalyptic number.

136361388916704 is a gapful number since it is divisible by the number (14) 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 136361388916704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215513270784000).

136361388916704 is an abundant number, since it is smaller than the sum of its proper divisors (294665152651296).

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

136361388916704 is a wasteful number, since it uses less digits than its factorization.

136361388916704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39791 (or 39769 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 136361388916704 in words is "one hundred thirty-six trillion, three hundred sixty-one billion, three hundred eighty-eight million, nine hundred sixteen thousand, seven hundred four".