136284664320 has 1440 divisors, whose sum is σ = 605173016448. Its totient is φ = 29206904832.

The previous prime is 136284664309. The next prime is 136284664331. The reversal of 136284664320 is 23466482631.

136284664320 is a `hidden beast` number, since 13 + 628 + 4 + 6 + 6 + 4 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136284664309) and next prime (136284664331).

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 143 ways as a sum of consecutive naturals, for example, 518192509 + ... + 518192771.

Almost surely, 2^136284664320 is an apocalyptic number.

136284664320 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 136284664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302586508224).

136284664320 is an abundant number, since it is smaller than the sum of its proper divisors (468888352128).

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

136284664320 is an equidigital number, since it uses as much as digits as its factorization.

136284664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 136284664320 in words is "one hundred thirty-six billion, two hundred eighty-four million, six hundred sixty-four thousand, three hundred twenty".