136826496 has 192 divisors, whose sum is σ = 421031520. Its totient is φ = 44209152.

The previous prime is 136826461. The next prime is 136826507. The reversal of 136826496 is 694628631.

136826496 is a `hidden beast` number, since 136 + 8 + 26 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648471 + ... + 1648553.

Almost surely, 2^136826496 is an apocalyptic number.

136826496 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 136826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

136826496 is an abundant number, since it is smaller than the sum of its proper divisors (284205024).

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

136826496 is an frugal number, since it uses more digits than its factorization.

136826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 136826496 is about 11697.2858390312. The cubic root of 136826496 is about 515.2959570762.

The spelling of 136826496 in words is "one hundred thirty-six million, eight hundred twenty-six thousand, four hundred ninety-six".