136548416088 has 512 divisors, whose sum is σ = 474771456000. Its totient is φ = 35504663040.

The previous prime is 136548416063. The next prime is 136548416089. The reversal of 136548416088 is 880614845631.

136548416088 is a `hidden beast` number, since 1 + 3 + 6 + 548 + 4 + 16 + 0 + 88 = 666.

It is a super-2 number, since 2×136548416088² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136548416089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71602831 + ... + 71604737.

It is an arithmetic number, because the mean of its divisors is an integer number (927288000).

Almost surely, 2^136548416088 is an apocalyptic number.

136548416088 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 136548416088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237385728000).

136548416088 is an abundant number, since it is smaller than the sum of its proper divisors (338223039912).

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

136548416088 is a wasteful number, since it uses less digits than its factorization.

136548416088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 136548416088 in words is "one hundred thirty-six billion, five hundred forty-eight million, four hundred sixteen thousand, eighty-eight".