136136001346944 has 256 divisors, whose sum is σ = 384112021708800. Its totient is φ = 42572315197440.

The previous prime is 136136001346909. The next prime is 136136001346981. The reversal of 136136001346944 is 449643100631631.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4604307649 + ... + 4604337215.

It is an arithmetic number, because the mean of its divisors is an integer number (1500437584800).

Almost surely, 2^{136136001346944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136136001346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192056010854400).

136136001346944 is an abundant number, since it is smaller than the sum of its proper divisors (247976020361856).

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

136136001346944 is a wasteful number, since it uses less digits than its factorization.

136136001346944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31841 (or 31829 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 136136001346944 in words is "one hundred thirty-six trillion, one hundred thirty-six billion, one million, three hundred forty-six thousand, nine hundred forty-four".