136498779126336 has 672 divisors, whose sum is σ = 437013565148160. Its totient is φ = 37212552396800.

The previous prime is 136498779126253. The next prime is 136498779126377. The reversal of 136498779126336 is 633621977894631.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 32414811271 + ... + 32414815481.

It is an arithmetic number, because the mean of its divisors is an integer number (650317805280).

Almost surely, 2^{136498779126336} is an apocalyptic number.

136498779126336 is a gapful number since it is divisible by the number (16) 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 136498779126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218506782574080).

136498779126336 is an abundant number, since it is smaller than the sum of its proper divisors (300514786021824).

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

136498779126336 is a wasteful number, since it uses less digits than its factorization.

136498779126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6576 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 75.

The spelling of 136498779126336 in words is "one hundred thirty-six trillion, four hundred ninety-eight billion, seven hundred seventy-nine million, one hundred twenty-six thousand, three hundred thirty-six".