136961218944 has 384 divisors, whose sum is σ = 439556906880. Its totient is φ = 40586772480.

The previous prime is 136961218921. The next prime is 136961218949. The reversal of 136961218944 is 449812169631.

136961218944 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 612 + 18 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136961218949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112539424 + ... + 112540640.

It is an arithmetic number, because the mean of its divisors is an integer number (1144679445).

Almost surely, 2^136961218944 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 136961218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219778453440).

136961218944 is an abundant number, since it is smaller than the sum of its proper divisors (302595687936).

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

136961218944 is a wasteful number, since it uses less digits than its factorization.

136961218944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1423 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 136961218944 in words is "one hundred thirty-six billion, nine hundred sixty-one million, two hundred eighteen thousand, nine hundred forty-four".