136535998464 has 288 divisors, whose sum is σ = 414857026080. Its totient is φ = 44354764800.

The previous prime is 136535998463. The next prime is 136535998513. The reversal of 136535998464 is 464899535631.

136535998464 is a `hidden beast` number, since 1 + 3 + 6 + 535 + 9 + 98 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×136535998464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136535998463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145096234 + ... + 145097174.

It is an arithmetic number, because the mean of its divisors is an integer number (1440475785).

Almost surely, 2^136535998464 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 136535998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207428513040).

136535998464 is an abundant number, since it is smaller than the sum of its proper divisors (278321027616).

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

136535998464 is an frugal number, since it uses more digits than its factorization.

136535998464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 987 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 136535998464 in words is "one hundred thirty-six billion, five hundred thirty-five million, nine hundred ninety-eight thousand, four hundred sixty-four".