136878336 has 360 divisors, whose sum is σ = 498605184. Its totient is φ = 36495360.

The previous prime is 136878317. The next prime is 136878353. The reversal of 136878336 is 633878631.

It is a super-2 number, since 2×136878336² = 37471357732257792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 136878291 and 136878300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3338476 + ... + 3338516.

Almost surely, 2^136878336 is an apocalyptic number.

136878336 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 136878336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249302592).

136878336 is an abundant number, since it is smaller than the sum of its proper divisors (361726848).

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

136878336 is an equidigital number, since it uses as much as digits as its factorization.

136878336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 136878336 is about 11699.5015278430. The cubic root of 136878336 is about 515.3610262704.

The spelling of 136878336 in words is "one hundred thirty-six million, eight hundred seventy-eight thousand, three hundred thirty-six".