136561443840 has 528 divisors, whose sum is σ = 496625126400. Its totient is φ = 34631122944.

The previous prime is 136561443827. The next prime is 136561443841. The reversal of 136561443840 is 48344165631.

136561443840 is a `hidden beast` number, since 1 + 3 + 6 + 561 + 4 + 4 + 3 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (136561443841) 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, 285096721 + ... + 285097199.

Almost surely, 2^136561443840 is an apocalyptic number.

136561443840 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 136561443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248312563200).

136561443840 is an abundant number, since it is smaller than the sum of its proper divisors (360063682560).

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

136561443840 is a wasteful number, since it uses less digits than its factorization.

136561443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 136561443840 in words is "one hundred thirty-six billion, five hundred sixty-one million, four hundred forty-three thousand, eight hundred forty".