136521661248 has 784 divisors, whose sum is σ = 499719600000. Its totient is φ = 36870930432.

The previous prime is 136521661231. The next prime is 136521661307. The reversal of 136521661248 is 842166125631.

136521661248 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 21 + 6 + 612 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

Its product of digits (414720) is a multiple of the sum of its prime divisors (480).

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 111 ways as a sum of consecutive naturals, for example, 304056928 + ... + 304057376.

Almost surely, 2^136521661248 is an apocalyptic number.

136521661248 is a gapful number since it is divisible by the number (18) 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 136521661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249859800000).

136521661248 is an abundant number, since it is smaller than the sum of its proper divisors (363197938752).

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

136521661248 is an frugal number, since it uses more digits than its factorization.

136521661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 480 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

Adding to 136521661248 its reverse (842166125631), we get a palindrome (978687786879).

The spelling of 136521661248 in words is "one hundred thirty-six billion, five hundred twenty-one million, six hundred sixty-one thousand, two hundred forty-eight".