136657559808 has 540 divisors, whose sum is σ = 517151516112. Its totient is φ = 35492567040.

The previous prime is 136657559807. The next prime is 136657559861. The reversal of 136657559808 is 808955756631.

136657559808 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 575 + 59 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (136657559807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11170591 + ... + 11182817.

Almost surely, 2^136657559808 is an apocalyptic number.

136657559808 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 136657559808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258575758056).

136657559808 is an abundant number, since it is smaller than the sum of its proper divisors (380493956304).

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

136657559808 is a wasteful number, since it uses less digits than its factorization.

136657559808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 136657559808 in words is "one hundred thirty-six billion, six hundred fifty-seven million, five hundred fifty-nine thousand, eight hundred eight".