136418031360 has 1152 divisors, whose sum is σ = 564083170560. Its totient is φ = 30916214784.

The previous prime is 136418031359. The next prime is 136418031389. The reversal of 136418031360 is 63130814631.

136418031360 is a `hidden beast` number, since 1 + 3 + 641 + 8 + 0 + 3 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404801112 + ... + 404801448.

It is an arithmetic number, because the mean of its divisors is an integer number (489655530).

Almost surely, 2^136418031360 is an apocalyptic number.

136418031360 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 136418031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282041585280).

136418031360 is an abundant number, since it is smaller than the sum of its proper divisors (427665139200).

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

136418031360 is a wasteful number, since it uses less digits than its factorization.

136418031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 136418031360 its reverse (63130814631), we get a palindrome (199548845991).

The spelling of 136418031360 in words is "one hundred thirty-six billion, four hundred eighteen million, thirty-one thousand, three hundred sixty".